Nyosa, hezda, kuna chaikwengiwa marafiki kuna wale renyukiwa na mazuri wa kuna wale Bampa to Bampa Lakin ni hile wakachi wisha patwa na shida dil actually renawei Only the few ones wada smama na wale Nasi, nime toki o moj sa hendo tu mejoa true friend nimitu Inagani tumonam tumunia tukotu na expectia vej tuketa kumsaydia na wegi minyu tukotu na kiriya, awa jafu e po so, wukiwa na shidanda uta jwa atu friends ni nani desa itu na jwa. A friend utam jwa in each and everything in all the things that me kwa mkirilit pamoja. Sila zima, ukwa in trouble, jubeshtia kwa ajuwe ukwa in trouble because kama rafki ako, kama you've been friends with someone in a manisha and a kwa understand whether you are in trouble or you are not in trouble. So mi, mi mi venye neza se ma ni if I have a friend I expect that friend ajuwe that kama ni kona shida this is how I behave na kama sena shida this is how I behave. Friendship ni two way and then another thing friendship in a juli kananga if ukwa in trouble a ma hajuwe ukwa in trouble. So mi mi na ona if someone is your friend ataka ma ukwa shida ataka ma hajuwe ukwa shida that person will always be there for you that is number one because a friend in need na se me kananga is a friend indeed. So mi according to mi mi na ona sila zima ukwa kwa shida diyo ujuwe mutuni beshtia ako beshtia ako aneza kwa kama ana jua kama uta jubeshtia ako kama ukwa kwa shida ama taimei nye kwa kwa shida but most importantly ni taimei nye ukwa in need diyo uwa wana the character ina zi portray mo but mi mi na ona if you are in trouble you will always know your friend. From my opinion mi na ona you have to be in a problem so that you know your friend. Karizom yubim wakati mwingine kleg kama tuna utu kona raha we party and everything una pata friends are so close to you but then wakatuna jipatu wakatika shida para kwa chate sana hukubali kutambianawa wakatika yu shida so they feel when you were atambianawa hadi mwisha wuji ondo wakatika yu shida ndi wu tatambua hua friends. And there we go. Apparently a friend in need is a friend indeed which is what we started with but previously before we played the videos which I thank you for very much by the way and the floor is always open if you want to express yourself you know how to do it.  So Wangari asked a very important question and she said who how do you know your friend is your friend. How do you graduate from acquaintance or just pass her by to friend. And I'm going to throw that question to Patrice but before he answers that I want to ask you Wangari another question. What if let's just I give you the scenario. What if me me ok I will use people on the set. So what if I am a kind of person nikiwa na shida sita taftana. Like it will just be inside of me and I will try to figure it out the best way I can. Na kama na kufa na kufa tu naio. And I just there's a lot going on for me but outwardly I'm ok you know and that's maybe that's how I've been raised. So maybe Patrice has a problem of his own. Patrice knows how to reach out he knows how to talk to people. So it's busy they are reaching out to me they have no problems. Honor it's not that I'm not trying to be there for you it's just my own life is overwhelming me you know. And I cannot communicate that to you. Infact nukwa nangoja ni malize ishida to start ones up taftana to chill. Benye tukwa na chill. Does that make me a bad friend. Does that make you a bad friend. Does that make me a bad friend. You know you're talking about me because that's exactly what I am. Ya. But what I tend to do personally is that I can have a million things in my head. But when you come to me for anything I always tend to put me aside. Ya but who takes care of you ma? I take care of myself and God like that's me. Okay like that is me. For me to ever get to that point where I have come and tell you know what I'm going through this and that. Eh. You ever you've graduated. Only talk about acquaintance. Umetuka friend you're not even a best friend. I don't know you're just a part of me. But I don't. That's why for me I'd not easily say I have fake friends or real friends because I don't bank anything on friends. Okay. Ya I just don't bank anything on friends. Now you're like on another level now. It's for just caring and loving and not taking anyone too seriously. Not too seriously. Not taking anyone serious. At all. Ya. I like her. Hashtag is where everybody. Wa. Alright so give me your two cents on that and then legit just logically because apparently ma dem tookana feelings. Ya nina zanda shule ni so many graduate. So school physodism. A lafuku jew ni yembeni kuna feelings nikiyongia. Actually that is my feelings. You know feelings can be. It's my feelings. Okay. Anyway. So tell me. Now when do you graduate from being an acquaintance to being a friend? How do you tell somebody is loyal? Okay. Now I think people should start treating friendships like the way you go and look for a marriage partner. Imagine I agree. In the sense that you have to fully investigate this nenga. You meet him daily. I don't oppose. You meet him. I mean you even share the same room for instance. But before he graduates to that level you have to know a lot about him so that he doesn't surprise you. Friends are surprising out here. I hear they say if you have a lua friend he can be with you here over the weekend is not here. And then on Sunday he's going to be with you. Wow. You know he actually said that your friends are surprising. And then he made it seem as if relationships ain't. And I'm like. Yeah but my relationships are also surprising. So I think. No please keep relationships first. Friendships at least they can be a little bit surprising. Friends can surprise you because you've got to be a friend in your relationship. Hey among many other things. So I think you have to really well know your friend. So like most of my friends I know their families. I know their girlfriend and girlfriends. I know major things about them. I know about their sickness by the way. First thing that I can offer. I even know about their blood groups. Wow. Yes. So my friends are there not many. Yeah. Being a political leader you know you might have a lot of people around you but they're not that many. I can relate. So. So. That's one thing that people do not know.  Sorry. How do you know these friends know that you know them well? How do you know they loyal? How do you know they real? Apoko intentions. Now it depends with also what kind of a person you are. You know there are people who don't need loyalty. You just need to be there. Wow. Yes. I mean fundraiser over 100,000 to some people it's just no more. That's not loyalty. You get but I mean loyalty to another level. Our interests are aligned and we are not going to betray each other. You know sometimes you can be passive. I mean you don't act on my needs. But you don't betray me. What does that make me? Okay. Betray you. Betray you. Let's talk about betrayal kiasi. Supposing me and you have the same goal. You want to be employed by her. Okay.  And that's my dream. And we are friends. So if I go and backstab you to get what I want. Would you really term that as. Okay. Let me take back the wide backstab. If I just go and speak nicer than you doing to her. Is that betraying you? So long as you get the job and you will employ me some day. I don't have any issues. Yeah. This kind needs to be my friend. Because I think. Okay. Another thing. Eh. There are many things. Nkwani shamsa apasani me fika apani yu komiteko. Let's start with what you said. I like to think that friends or a friend. I want to say it very loosely. A real friend is someone who would be happy for you. When you grow. When you shine. Absolutely. And it's important to understand. Nkwani skize. Please. I'm not stammering. I'm not stammering. Please listen to me. Okay. These seasons are not always the same. As we started wearing suits in our kindergarten classes. That's why I said ask him. Clearly we have different struggles in life. But assuming we were all starting from somewhere, you know, and now it's time to graduate, see what it's all right. So maybe you became a doctor or whatever it is that your heart desires and you just went in, no kumokao, sijwi, wuka tiza kama jimbo, wajou, dema me omoka kimchezo sana guys. Just one minute I was watching her on was up next, no na, na, na, na, postiwa na bad girl, Riri. I was like, why you who? Ha! Okay, that happened very quickly and maybe you perhaps you find yourself as a governor somewhere, you know, na, na kumuna kwa TV na sama, kiyokitambi na jua. That is my friend. Now looking for sex pipe. Let's say, mimi, mimi sando hasla e, umona yo pichiwa matua me bebo yondo suji ya ma eboila lafut numa me strap on gas, gas cylinder. Just in case, customer na tukama e fry e, maybe that's me. Does that mean now we're going to stop infants?  I don't think so. I really don't think so. Na sijwi, na na kwa mungu, please, please, please trust. I will go to the most higher than who created me, na tia demona, amayo servant, amayo house girl. Mbo na hao ingi na omoka na Mr. Omoka. Kwa ni? Siu mesama, you created me in your image and likeness. What is the problem? Alafu niksama, Lisa Apu, somehow the universe will start telling me to be content and be grateful and work hard and be patient and trust the process. Na desiba, okay, sour. But then I'll go back to my friends and in my heart, ntasama, you know what? These people, I know where they've come from. I know where they're going. They've come from so far. They've done so well. How can I hate that? How, in fact, I should be saying any dreams do come true. Okay, let me tell you. Let's go back to personality kiazi. You see, there are people who've gone through so much bitterness in their lives to a point where right now they are bitter. So if they see you have what they think, what they should have or deserve, they take it out on you, you know. So it's not just a matter of hating. Sometimes it's even unconscious. Sometimes it just comes from the inside. That is not your friend's problem. That is your problem and only you can fix it. And it happens to everyone. But no, you see, for me, I'll turn the story around because I'm human. I know you're the one who will be the fake friend. Because you're up, then you're not pulling me up with you. Because I'm a robot. Me, I'm not human. No, you're not pulling me up with you. So this situation is what Nani sang, 50 Cent, sang another song. Many men, I don't know if you're right. Yeah, many, many, many, many, many. Yeah, want me dead. The story behind that is 50 Cent and another boy of his, boys, another friend of his, were running business. And this guy felt the need to overtake because 50 Cent was up there and he was down here.  I mean, you're also human. There's just that much you can do. You can do everything.  By the way, your mum is there.  Now it reached a point, this man, this man planned to alternate 50 Cent and 50 Cent didn't die. And 50 Cent recovered. Now, that guy suffered. Oh, the name Shotshots. Did you meet him? Yes, nine bullets. Did he get one as well? And then him, and then I was saying, three weeks later, he's not breathing, but 50 Cent is breathing. Wow. Yeah. So, I mean, sometimes there is that hostile takeover that comes from, I mean, you're both ambitious, man. You both want something. But at some point, that person who is already ahead of you can only do so much. Thank you, imagine. You see.  And mum, I mean, I think you're not a baby. Exactly. Yes. And you're not your friend's responsibility. Good. You are God's mothers and fathers and they were part of father and mother ends at 18. But we can all agree that life has levels. Absolutely. So, if we friends right now from high school, like we've been through that shit together, matpukotuki hasl pamoja, and then he patch a job, like another level, forgive me, I don't mean to like now just, you know, kukwe kakando, but the new people nimepachana now, the new things we discussing, when kikuja kwangia nawewe, we're talking about what when I go to that other level of people, we're talking about businesses, investments. So, okay, you labeled me as a fake friend because nimepika paleni me kusaw, but truth is, we're not at the same page anymore and we have to accept that.


Hey, I wanted to show off my little accidental tablet stand solution discovery here. You'll notice my little Samsung 7 inch Galaxy Player is standing at a nice stable 45 degree angle here. Well, what I've got on the back of it, if you can't tell from this angle, is a suction cup. A plastic hook that's intended for your shower to hang a towel or washcloth. I was at home depot looking for something that I could attach to the back of the tablet that I could hook onto a mic stand, something with a boom on it, that I could stand next to the bed or attach to the wall. And I saw this when I was walking past the bathroom section. I saw it's got this strong tower on the back that I was thinking maybe I could hook a ring to or something. But once I sucked this thing onto the back of the tablet, I realized that's all I needed. It'll stand like that forever. No chance of falling over. If you want a taller angle with the hook, you can adjust the angle of this hook and it'll stand up taller. You can flip it over and stand it up taller like this. And you can stand it up vertically. This works on a hard surface like this. It'll stand up on the bed next to the pillow, on the nightstand. This thing has been attached. It's been sucked onto the back of this thing for about two weeks now.  This is what it's called, Magic Suction Hook. If you look for it online though, you're going to need to look for the phrase Magic Stickum Hook, or Magic Stickum Suction Hook. I'll show you the link there. This at Home Depot was $1.99. Online, I'm seeing them for more like $5. But go take a look at your nearby Home Depot and see if you can get one of these. Great solution. Also, take a look at this. This arrangement makes it easier to hold the thing when using it as an e-book. I can just hook it over my hand and there it is. I don't have to worry about keeping a grip on it because these things really are slippery. I can hook it over any part of my hand, really, anywhere. Works the other hand too. And it just floats there in midair while I read. It's like a magic trick. Perfect solution actually. It actually looks like it belongs there, doesn't it? See you next time.


Good evening to everyone. Welcome to Sentomar and we are going to start in two minutes. All of you take your seats get your stationery pen, paper and Some bit of knowledge as well. So today's topic is triangles lines and angles and Questions might involve Things which you have learned in the past. So some bit of common sense as well. Hello, Tanvi. Hello everyone. Hello, Rishanth Tanya everyone Very great evening. So Pratik. Hello. Hello. Hey Gege Pranav Okay, so yes, Ashish Hi Hi Personal hellos. Yes, everyone is getting personal hellos today So Siddharth. Hi Rudra. Hi. No, if you if you type so fast, I will not be able to so Bharat. Hi Namrata. Hello. Hello. Siddhaj. Hi Aditya Pranav. Monisha. Hi Nikita. Hello Srijan. Hello Janvi. Hello. Yes, Arushi. Hello Roshan Everyone. Hi Gandhar. Hi Very good. So how are you guys? Akshay. Hi Aditya. Monisha. Everyone. How are you? Very good. Very good. Come. Hello. Good evening. Very good So let's begin. All set Yep, don't do silly error errors and again traps beware of traps and One second. One second. One second is over. So let's begin. So Okay Get ready guys. Come on. Come on. Come on. Come on. Come on.  Yep, you are right.  So though it is helping me to get my weight reduced but Yes, so hence Don't do errors Okay I'm sorry speak loudly. Sorry. My speakers are Mr. Volume. Tell me. Sir, are there any false questions? True and false are there as always it has to be because they test your nerves and your temperament so hence Yep, most of you we were doing the analysis You lose a lot of scores in true and false just imagine the movement lesser the time as time is reduced You guys start Yep, so yeah Something is bad. You have to embrace it. Okay. Hello We are one minute away from start of the quiz Get set Arm your nose down. You don't need to panic and don't need to rush through the question Please take your time. It's all the idea is to get 100% correct Okay Okay, I'll set shall we begin it's eight on the Clock so here we start first question on the Board so in the given figure if you're not able to see it then let me know I will give you a broader view So here is the broader view. So in the given figure AP and VP are the bisectors of angle a and b respectively Find angle APB APB Right. So this is a theorem. Otherwise, if you remember the theorem, it would be easy. Otherwise, you can just Solve it and also mark the right answer. Okay. What happens to the dark? Why are you what happened? You love it? Okay, let's see let's see what that appears to be easy is always Question mark, okay, by the way, I didn't tell you this time the time has been reduced. So even it's now a 90 seconds Okay, sir. Okay Is the time over still going on so let me go back. Oh, it's over 111111 that's nice. So there are three sets of 11 people in three different baskets. The hands I Need to very much solve this one. I don't know which color is this is this color I don't like. So let me change the pointer option. This is x. This is why because They were bisectors. So hence was 180 degrees B 110 plus y is 55 degrees and let's say this angle is Z. So x plus y plus Z is 180 x plus y is 55. So 55 plus that is Is 180 so there is 125 you could use half angle C plus 90. Yes, sir You can write if you remember is use it so it will save your time. Okay. So here's the first little board After the first one on one one on one obviously, please tell me Who's this read the question the question again? useless irrelevant discussions not allowed, please focus Leaderboard people will be allowed if at all first two perfect. Don't get distracted first Monisha think about very Okay, see very easy no are see supplement of s that means you have to find out 180 minus s. This was the question Supplement of which is this angle and this angle is simply are because they are parallel Right. So you have to simply do 180 minus P plus Q P plus Q it is simply 47 degrees Is it showing wrong? No, correct 47 Six plus that is if you add P plus Q is how much? Okay, P plus Q is 133 So 180 minus Simple 47 Yeah, any doubt any problem in this one. I don't think so should have been any issues in this You have to again as I keep on saying Pay attention Pay attention Okay Okay, so here's yes Here are few unknown people So I wish he's using some he's using his intellect ultra ultra fast intellect. He is the avatar of Next to God Yep So forget about what the people are doing. Let's focus on our accuracy individual accuracies You don't know this but I have a separate List merit list formed at the back end So don't worry about all this. So let me show you Yeah, so I am taking only accuracy. I forget about who was the fastest who was the slowest I just see who is consistently doing his or her job Well, so those are my target people So whosoever comes on top on the leaderboard. I really got Care, I only care about people who are consistently getting right answers That's accuracy Okay, so one angle of a triangle is equal to the sum of the other two angles if the longest side is 13 and smallest side is 5 The area of the triangle is Zero by zero is not 100% accurate My dear Anush, you can't divide by zero basic rule of mathematics Mmm code is Good. What is the code eight seven five eight seven four Okay, cool. So Most of you have got this one correct. You should have But it's very very simple Solving it very quickly So if you see 13 and 5 you'll instantly recognize because it's quite common actually recognize. This is a Pythagoras triplet 12 13 and 5 Then you know that Yeah, and you know that 13 is the hypotenuse because it's the longest side Hence, you know, it's 12 is the height and 5 is the base then it's easy Okay, so what is common for you is actually uncommon for many people. So good your instinct has been developed so in 30 and 5 do really belong to a Right angle triangle. So if you are That means you are from that uncommon lot. So good. I really appreciate that if you know that When I was solving it, I didn't notice it. I only noticed it once I was done answering Okay, so 5 12 13 is the gap and one angle of a triangle is equal to the sum of other two angles This has to be noted when is this possible only in case of right triangle One angle of a triangle is equal to the sum of the other two angles, isn't it? Why because x plus y plus z is 180 degrees Right and y plus that is equal to x. That means 2x is 180 degrees So did you learn this or not was the so you can now, you know, you know that this is possible only in the case of what? Right angle triangle, right and the moment that is there. This was hardly anything for you is good That's nice.  Yeah, you don't use this word. Ahaan, I don't like please remove this top positive be positive always Okay, next question. Okay. Here is an expression and Bigger view is this the size of a triangle that produced in order Then the sum of three exterior angles so formed is equal to sum of interior angles of 15 seconds will be lost in understanding the question. I believe hold please Harita Someone please supply the code to Harita Anush mark on has already supplied eight seven five eight seven four a very cute looking even number it is Divisible by three also don't worry about being slow be slow, but be accurate right now Don't worry about leaderboards. I told you After every quiz, there is an Excel generated by when T team. So they are That Excel is shared with us and it has all the data of who has done what at what moment? so we are basically Filtering out those who are consistently doing good. So I have a separate right list Okay, so Mentis leaderboard anyways, there was there happens lots of Glitches and all that It's time. Let's go. Okay.  So here is the question and it was Is the size of a triangle are produced in order then the sum of the three exterior angles? It was very simple, right? So Produce all of them in order that was what was meant by in order. So you have to produce like this So this angle x is one plus two this angle y is two plus three and This angle z is one plus three, right? So x is equal to Angle one plus angle to red y is equal to Angle two plus angle three and Z is equal to angle what one plus angle three One plus angle three Am I right? Add all of them.  That will go here That's nice. Let's see. You guys are really good at geometry You are struggling in polynomials and all that Never mind.  So let's go to the next sum Okay, here is the first time able to see this is why This is 3 y This is x and 2 x 20 27. I was expecting some more. Never mind. Never mind. I would explain explain explain So this was the question and it was very simple question Why was it simple? So this angle is 3 x Adjunted This angle is 3 x And this is why so 3 y is equal to 3 x plus y So 2 y is equal to 3 x Yes So ancestors of India x by y is equal to 2 by 3 and go back to What you are irrational rational number chapter Could it so this is correct Yes, Rudra. I still not still didn't understand anyone wants more explanation to this So what was it? You have to simply observe that this x plus this 2 x was this 3 x right once again once again once again Please please please please stay attention So x plus this 2 x is this angle 3 x here this 3 x now this 3 x plus this y will be equal to this exterior angle 3 y Adjunted so 3 y is equal to this is the equation Cool. So 2 y is 3 x So brothers and sisters of India you have to find out x by y and that was 2 by 3 Adjunted sense correct. I hope you understood That's nice. Let's go to LB Nice two of you have not been able to appreciate to sometime at Tony. My dear Tony is on So T for Tony T for top. That's nice Let's go to Saval Sankhya Che I'll say if you are not able to see this one. Let me show you here So this angle is a this angle is a B B x x one the point difference today Good l1 is parallel to l2 go to any topic which is not relevant here Again don't do that.  Why? How b it was very simple dada 2a plus 2b is 180 degree co interior angle. So a plus c is 90 degree Okay symbols it was very simple. So this is 90 degrees. So 2x is equal to 90 degree So 2x is equal to a plus b So x by a plus b was 1 by 2 which is called 0.5. Oh, look simple isn't it any difficulty any difficulty So there's another method. Yes, there are lots of methods my dear shum Tell me what is the method? come on So using exterior angle you can say 2x is equal to a plus b Yes, I think the x on the other side a plus b by x is equal to 2 then the s if locate both the sides 1 by 2 is equal to x by a plus b proud of you my friend very good very good observation. So this 2x is Good monies are proud of you as well. So 2x is a plus b. So you can do that very good. Nice Nice if you are finding methods Okay, nice so let go to Rishabh from Don't worry food is ready. Okay C for charlie b is for Bombay b is for patliputra x is for Algebra x times up Egypt times up the wonderful Wah the wonderful Okay So you guys got confused Okay, so this angle would be 50 degrees why? Why is this 50 degrees? Because this line is Because that's parallel to this Exactly. So hence this angle is 70 So if that is 70 this 20 this 50 and my dear fellas these two sides were equal that means this angle will always be 50 50 Na re na na 50 50 right so 50 50 now what if this is 50 my dear friends This is 80 If this is 80 my friends, this is 30. I hope you're getting it always in a good mood dude. Okay below Is this clear so far so so good sfsg type sfsg sfsg so far so good 30 degrees so up but our x was 30. So 2x is 60 2x is 60 supplement of 2s 2x is 120 and 120 is the internal angle of our regular hexagon isn't it Clear not clear Yes clear or not clear c and c So many took some other answer and it's showing wrong answer. So but I got it right So can I take it as my accuracy? Like can I count it in accuracy? My dear friends A man is the best judge or woman Is the Best judge when it comes to honesty not when it comes to lines and angles for that. I am the judge So you know whether you are honest or not Okay, so hence I hope you understood so always remember regular hexagon It's not for any hexagon guys only for regular hexagon. You'll get 120 degrees. Why?  So could you please repeat how you Derived angle abc a ABC you're saying so, how did you how did you derive the angle abc? Like I missed that part The biggest part of the cq is 70 degrees Corresponding and this hence this angle is 70 degrees Are you on this? With me. Yes. Oh, yeah. I got it. I got it. I got it. Yes. I know you got it. Okay Clear next go. Let's go to the next question What does the leaderboard say? Okay, I Pain so I have fast today. I have to eat lesser lesser today And we'll have to play some Meditation music as well. Never mind. Let's go to the next question Yes, you guys are depriving me of food. I will show you in a Better view. There's a question Is it Thanks for appreciating I'm a time pass For question is let me see how many if you crack this one Okay, most of you could not get it it was very very simple and here is Something called art observation Okay, you need to be good at it So I got it but after the time got over what? So art of observation little faster That was again. So little faster Let me add that Observe Faster. Okay. Hey, what is this? Hey, don't spam. Don't spam Don't spam Okay, so the moment I say this What is bc4 and this is 3 so and this is right angle given. So this is 5. This is 5. This is 12 So can't you find out the area dudes? This is 13. So this has to be 90 degrees. So hence area of the bigger triangle is half into 5 into 12 which is 30 And area of this cute little smaller triangle is 5 4 into 3 by 2 that is 6 So the total area of this enclosed figure is 30 minus 6, which is 24 Did you understand now? Did you understand now? I will explain one form they go I just joined bd Okay, I just joined bd. Yes. This is a question from american mathematical contest Okay, uh, not really. Yeah, shy. Yes or Or or or one more There are various competitions across the world. So I have access to them. So hence, okay So, uh, this amc is the prmo of us Okay, so as we have prmo after prmo, you write rmo After rmo, you write in mo After in mo you write something called or you go to something called imotc international mathematics olympia training camp fabulous experience and after this you go to imo top six people Top six people from this entire journey will go and represent india abroad Okay, and if you win a olympic medal gold medal, it is as good as an olympic gold medal olympic Gold olympic gold and many universities world over will give you a Wildcard entry full skull into their undergrad programs including I was not here. I am not an american citizen. So I I never knew what is mc. Yes. I was till this point But anyways, that's past I See hence, I'm not comparing amc and prm. I'm saying amc is the first stage of compared for mathematical people uh american people Okay, so Uh, not the point. So hence anyways, so now there is no space. I don't know how to delete Wait a minute pointer options Eraser I have a razor. Yes. Let me Erase out my past because it's your time. Please Um, what what what can I use? Sorry come again. Manisha. What did you say? Oh, it's okay. Thank you. Okay. So so once again, oh, I can erase this also Aiyo Rama back question was Displayed anyways, you not have observed it. Okay now so Tantan Once again, they go those talk by your orbano hand Your highlighter pen Yes, pen pen is back, but it will get me a good color now. So I join this one Okay, I joined this and it is given that it is 90 degrees. Therefore. Come here. Bcd is right angle. So 90 degrees four three five Okay four three five and this was 12 Right and this is 13 So 5 12 13 former just few questions back. We learned what did we learn that 5 12 13 is a I thought we're in triplet. That means this angle has to be 90 degrees If that is 90 degrees so half into five into 12 Is the area of the full triangle b a d angle bad triangle bad Bad Is this that means How much 30 Is it and triangle bcd Area is how much three into four by half into half? So three to two three into two six. So this area The enclosed area will be how much 30 minus six He jumped it. So Well, clear Okay, fellas, let's go to Slowly and slowly you will see now those questions introduced next come on the next comment. I'm saying not in come on You I will get you some romanian olympia the problems very fun to solve Okay, chalo eastern european countries are very rich in mathematical Decumen east european countries velarus uh romania ukraine Very very rich bulgaria bulgaria. Yes very very sharp and You know lots of medals they win. Okay next question on Your screen Okay fela party. So let me show you here So this point is c by the way Sorry It appeared well. So c. Okay solve Salmari It to talk about it Chalo, let's go back Sir, do you what? Excite for exams. What is this excite? What does it mean? Which what is it? I do exit from exams. Yes, if I can't fare well, I just exit come out Okay, okay, very good. So here is the explanation to this um A b is equal to ac. So a b is equal to ac and x is equal to x first Okay C e is c d c e is c d. So I will write y is equal to y And b d is equal to b f. So z is equal to z game over Game over or not over so 2x plus 80 is equal to 180 So x is 50 degrees x is 50 degrees so if x is 50 degree y will be how much 130 by 2. So if this is 50 these two will put together be 130 130 by 2 a 65 Agentate and so is that 65 degrees correct. So So both y and z are 130 by 2 so you can just take 130. Yes, instead of doing 65 Exactly so 130 so hence what is this 50 50 degree Yes, clear Clear or not clear what happened doing next question focus season is on number one followed by monisha I miss click Yeah, this is Not good. Okay. Okay. I will show you the This is the time up. Come on. Come on. You know the question. Come on. Come on. Come on faster Faster Okay, okay Answer is 45 degrees So I clicked 45, but it says wrong. Yes. So same for me Same for me also. Yeah Oh, I got me 20. Let's go to Solution, you know the you know you learned something right? So it was very easy. So these are all equal sides so No fear. This is 90. This is 60 for equilateral It is 60 for this is 90. So this angle is 150 So this angle is 15 and this angle is 15 because it's an isosceles triangle ad is equal to a e Okay, 15 15. So this angle is 45 So I knew it was 50. I knew the answer was 45 But then like I thought I thought that the option for it was d and I clicked the But um, it shows down all this while I was trying to click e but I could not Don't worry folks. It happens, but you have to be careful Okay, accuracy all of you accuracy. Come on. Come on. Quick. Now, you know your accuracy. Tell me your numbers seven by 10 nine by 10 seven by 10 98 by 10 Uh, eight by 10 You by 10 most of you seven eight seven eight seven eight like that. So average around 7.58 ish Next question here. No one is on 10 on 10. Anyone 10 on 10? No one. I have to fast now. There is no way out I will have to fast No way next Next question on a board what trapezium is right So uncle dcp is 110 right? Yes, madame and this angle is 30. Shall we go back To the question That's nice, but few people are still struggling but so since dcba or abcd is a trapezium So these two sides are parallel. No doubt about it. So if this is 110 This angle will be 70 degrees go interior angles Okay, if that is 70 degrees my dear friend, this will be 40 degrees Yeah, if that is 40 degree and da is given to be equal to db The moment this is 40 degrees this becomes uh, this is I think What? Okay, I'll tell you later. This is another International competition question. Anyways, uh, do you know these are international quiz questions? Because I have the source with me. I have I have books. I showed you the other day Did I not? Where do you think you got the question sir? I thought you make the questions like at least some of them Yes, I modify them I take because at times the questions will be beyond your level Here are they I told you I showed you the last the other day Where is iCloud? Oh, so so basically take it off the internet do some small modification presented for us basically I don't take anything from internet a collection of Books basically ebooks These are problem books for me So these are all questions from And I told you here are the these are volume pair books And material So you can see I have plenty of them. Don't worry. One lifetime is not good enough all questions So, right? So we get to see all of this through centimars Okay, so next is This question But it takes a lot of time to modify to lower down tone down the questions. So I remove lots of Oh, by the way, this is last mcq of the evening all in one. I have a macbook pro Two computers 20 on one I am on The chat I am viewing is on some other machine No, I don't use phone for Interacting with you all Mac This is 2018 model. So is this the last normal question and all the questions are normal my dear friend So as in like, uh, is this the last question where you have to where there's like four options Which is not to enforce question Great So last is the last q Shallow way But just look 25 people Okay, and the explanation was Not that hard So in triangle the difference of two angles is equal to the third angle. So a minus a b c are the angles Let's say so you should try it like this a minus b is equal to c Right and a plus b is equal to a plus b c plus c is equal to 180 degrees, isn't it? That means a plus b is 180 degrees minus c And a minus b is c add both these equations you will get two a is equal to 180 degrees So a is 90 degrees Understood a is 90 degrees so again you learn two things today about right angle triangles always remember it what first learning was If one angle is equal to some of the other two angles Then it is the right angle that we saw in question number one or two. I believe that was one, right? So if what was the first learning sum of two angles Is equal to one angle? This is characteristic of a 90 degree right angle triangle or second difference of Difference of two angles Is equal to third angle This is also characteristic of What right angle triangle is it friends remember this? Okay, hence I answer was this Okay, my dear friend Shallow let's are you ready for the For the true and false there are eight true and false questions false question and each question I have increased Two seconds. So hence you get 10 seconds per question. So hence let's begin.  What do I do? So second of earth or of some other planet where time gets dilated you have to mention that So like not literally a second sir Figuratively Yes, so second means like probably 30 seconds So one second equals to 30 seconds. I know it's not mathematically possible, but it's okay. No, it's possible You have to just mention the second with reference to which planet or which Hopefully so one second is equal to 30 seconds in english So a lot of one math here. It's english. So but now 30 seconds also by english also is over So what do I do? Okay. Okay. I'm just kidding just you know in the evening you should get good sleep. No if I Just tickle your Anyways, let's go start. Can I start or if you're ready give me a thumbs up Madness is gonna start Okay, here comes the first question between the minute's hand and the second hand in a clock at 3 p.m. Is 90 degrees 2 or falls and time is 7, 6, 5, 4, 3, 2, 1 and the answer is false, oh oh people got trapped, yay it was minutes and seconds hand my dear friend it was not hours and minutes hand ok so you should be you should be careful while reading the question so finally you got trapped ok ok ok ok right so minutes and seconds both will be at 12 when it is 3 p.m ok next question so hence next leaderboard first of all ok so here real temperament will come up now ok so next question guys be ready be ready next question commitment of compliment of compliment of a given angle is the angle itself true or false 5, 4, 3, 2, 1, nil ok let me see the ok ok yo again trapped, trapped number 2 oh my god compliment of a compliment of a compliment is not the angle it's the compliment of the angle ok so just just to explain here is so if x is the angle compliment of x will be 90 minus x this is 1 then compliment of this angle will be x again this is 2 if number of compliments in the question is an even number then it is ok ok ok ok exactly so you now getting it next this is so nice i am loving it i'm going to eat pizza in lockdown ok next question only six points between first two come on some of three reflex angles or the vertices of a triangle is 900 degrees true and false quick quick quick quick so i was thinking like sweet child of mine oh good good at least ok very good so it was 900 degrees it was very clear why because you know this you understood this question anyone needs an explanation anyone needs an explanation ok oh Raghav says Raghav Pandey here is the explanation three reflex angles so it is how much this angle is let's say 360 minus x this angle is 360 minus y this is x and this is z so third angle is 360 minus z ok yes Nikita very good so it is either one zero eight zero minus x y z x plus y plus z which is 180 so 900 what are you right that it's got it so it is true this true and false is very bad sir i know i'm also bad arushi can't help so the first two were like literally like the worst traps i've ever seen in my life like for you to be the best for us to be like the one of the most severe consequences no no no consequences it would be good all the consequences are going to be good the more you sweat in peace the less you bleed in war always remember next deny the difference still same how come did i do something right how is that possible okay anyways let's go to the next question oh is it next two lines it's not parallel we'll always intersect at a point true or false one two three four five okay okay easy easy easy trapped trapped once again trapped why easy what happened okay what yes look at your floor and look at your feeling extended no they will intersect only when they are in the same plane so no is it so look at the line oh it's not fair so why are you it's not fair it's not fair there it's very unbelievable that's how it's not a question so at least give us more time so i know i have hope sir for all these people who got it wrong they actually get the correct answer after the after time is up the thing is that because of how you are making these questions i always opt for the option which i don't think is the right answer okay no don't do that that's not okay that's not the intention okay next question so you can use reverse psychology and reverse reverse psychology against us the compliment of a compliment from a point on a given line only one perpendicular on the given line can be drawn this you should have guessed it by now what looks easy oh again most of you have not got it how just rotate the perpendicular along yes sir so you understood learn learn these these are the very basic misconceptions people have so ends my dear friend good that you are now let's see the idea is that you will now remember for your life if i would have given you in the class just like that a statement you would not have even bothered to write it down now you'll remember for a lot of difficulty i came on the leader both the why same so at the end of that i was at the 13th place right after coming off now i'm at the 19th place of something okay okay this looks interesting okay okay so morisha okay come on that's really nice okay next question on your board i forget about right and wrong learn i enjoy fun this is what it is total angle found at a point in space is four pi radians so all all put together the total angle at a point guys total angle up at a point you must be knowing this i believe this knowledge okay so let me see okay yes so most of you have got it correct it's four pi not two pi two pi is for plane circle at a point on a plane four pi is for um you know yep okay i don't need to explain this to you here is the leaderboard oh the angle subtended by a let's say a sphere at the center is four pi not by a it's a solid angle understood guys it's not a plane angle if you see which question was it so wait was it true or false yes so if you take a sphere and find out the angle total angle on this thing okay solid angle so solid angle is defined as if you remember i just mentioned this in the class solid angle is ice cream cone remember this angle is called solid angle right so if you take this point and complete this cone so that if you put all the cones together you'll get a sphere so at this point the total angle like up you know like what happens in a circle in a circle you get two pi here you'll get four pi solid angle okay so anyways this was more of a knowledge than of understanding so those who have unknown they have not 720 point when i lost hope in marking true the answer is true next question on the board yes i will explain nishan don't worry next question this so this must be easy three pi radians is 540 degrees very very easy two pi is 180 sorry 360 so again many people have got it wrong well two pi is 360 two pi is 360 or pi is 180 so what is three pi three pi will be three into 180 degrees what am i saying oh it is 540 yeah so oh what was the wrong is it that's true not false it's true it's true no sir they say false is the right answer is correct is it oh okay okay let me delete this wait let me take this away don't worry so i have my peak open here so you can change yes yes so i'll do that don't worry so wait a minute we do options here monisha and then obviously the other option is the right one i am there don't worry uh let's finally got one two and four tonight so was it 19 question number 19 and i am changing it yes it's wrong sir it says in time so you didn't vote in time for me wait a minute let me let me remove this question don't worry i will just we're going to delete the question yes results it is correct it's not corrected this is like we said yeah i have what do you do is so we are there doing question sir it's still saying you didn't vote in time i know no again i'll give you one for most people it's showing correct sir someone is i think it's you so you are the presenter the main thing and then the main thing in the beginning so you are the presenter you show me the screen just started and stopped again stop song and that was question number what that was 19 so the army total question one more are you sharing the screen just a minute so why does it still say wrong i have not wait a minute wait just a minute let me first start yeah able to see the screen now we'll have to go quickly to which question are we in so right now it is next question is sir it's probably showing correct for the ones who got the first question right hold on hold on just a minute i have removed the results of 19 questions to it doesn't matter 15 16 17 18 now in the next question you mark the right answer okay it's free it's correct right correct it now so i don't know what which question are we now whatever if it is a new question please mark it which question is it yeah so now you know the right answer so please mark accordingly question number 19 i've corrected the option okay okay oh it's still one person okay so last question guys before that close close close so my dear friends this is the last question of evening please be ready here is the last 17 plus 17 to par 11 is not a prime very easy it was not a prime yes hence it is true oh why right it's an even one it's an even number we thought you would only ask this because it's gonna be uh like it's gonna be a prime number so the question is so anyways this is the question last one 11 to the power 17 plus 17 to the power 11 this is even odd plus odd even so even number is always a prime number right so it's not a prime yes true and hence here is the final leader so if we add one to it it's a prime right how do you prove that yes okay so Srijan Ghosh is the formula of applying the opposite option worked finally good so great good Srijan keep it up now tell me your accuracies all of you accuracies accuracies accuracies 17 very good well done keep it up 43rd Vaishnavi has better accuracy that's nice okay good Vaishnavi then who else 15 by 20 15 15 17 by 20 Pranav nice 16 17 good good 15 14 15 16 so people are around 75 plus accuracy okay good good good so congratulations to Srijan Monisha Tony and Anuya and then who's below um I can't read and then Vyansing then Crystal okay very good well done Celeste see you tomorrow HSR and Indra Nakar and Kormangala folks rest of you see you some of the time bye bye take care stay safe don't go out thank you sir bye bye bye take care take care thank you sir thank you sir thank you sir take care Celeste Celeste enjoy bye bye bye bye bye Srijan good congrats