Proof of the Sum of Angles of a Triangle Measure 180 Degrees | Don't Memorise

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  • Опубликовано: 5 июл 2024
  • NEET 2024 Result Out: ruclips.net/user/liveq5XPp1AdJCk 🎯NEET 2024 Paper Solutions with NEET Answer Key: • NEET Answer Key 2024 |...
    📅🆓NEET Rank & College Predictor 2024: infinitylearn.com/neet-rank-p... A massive topic, and by far, the most important in Geometry. We will prove in this video, why sum of all angles of a Triangle is 180 degrees.
    To learn more about Triangles, enroll in our full course now: infinitylearn.com/microcourse...
    In this video, we will learn:
    0:00 Proof of Sum of Angles of a Triangle Measure 180 Degrees
    0:59 alternate interior angles
    To watch more videos on Triangles, click here - bit.ly/Triangles_DMYT
    Don’t Memorise brings learning to life through its captivating educational videos.
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    #SumOfAnglesOfTriangleProof #Triangles #neet2024 #infinityLearnNEET #neetsyllabus #neet2025

Комментарии • 741

  • @InfinityLearn_NEET
    @InfinityLearn_NEET  4 года назад +3

    #DidYouKnow The CGI characters we see in film and on TV are usually approximated by an incredibly fine mesh of triangles, as this makes it easier to digitally store and manipulate them.
    To learn more about Triangles, enroll in our full course now: infinitylearn.com/cbse-fullcourse?RUclipsDME&PnPM8VVHBA&Comment
    To watch more videos on Triangles, click here - bit.ly/Triangles_DMYT

  • @b.f.skinner4383
    @b.f.skinner4383 3 года назад +100

    This is absolutely mind blowing! Thanks for making me look at this in a different angle ;)

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад +22

      It's my pleasure. We are glad that you understood the concept. We are happy that we could help you learn. You motivate us to do better. Keep watching our videos : )

    • @rahulpatadiya2741
      @rahulpatadiya2741 3 года назад +2

      Op

    • @aarav6397
      @aarav6397 2 года назад

      Well this wayyyyyy better than my school teacher lmao

    • @monishcreationpubg4158
      @monishcreationpubg4158 2 года назад

      Yt

    • @CreatorClips123
      @CreatorClips123 2 года назад

      bad,sry

  • @WasimBaigACCA
    @WasimBaigACCA 8 лет назад +84

    Proudly adding you to the lovely list of my teachers :).
    It was just amazing...

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  8 лет назад +11

      Thank you for your kind words Wasim! To learn more and stay updated about our latest uploads, please register on our website here: bit.ly/DontMemoriseRegister
      Don't Memorise, Know More :)

    • @shitpostgod2656
      @shitpostgod2656 3 года назад +6

      Wasim Baig simp

    • @mohsinwara235
      @mohsinwara235 3 года назад +8

      @@shitpostgod2656 15 year olds calling everyone simps

  • @alexkillaz4179
    @alexkillaz4179 4 года назад +102

    No hablo ingles pero entendi todo a la perfeccion. El lenguaje matematico es universal..

    • @bartonpaullevenson3427
      @bartonpaullevenson3427 4 года назад +2

      Es verdad

    • @qiwas4665
      @qiwas4665 4 года назад +12

      I guess it's something like "no English is needed here. The Maths language is universal". Am I right?

    • @kasra72389
      @kasra72389 4 года назад +14

      The translation is: “I don’t speak English, but I understood everything perfectly. The language of mathematics is universal.”

    • @000adrianelpiola000
      @000adrianelpiola000 4 года назад +3

      Yo entiendo inglés pero no entendí una mierda.
      Naj es broma, sí entendí.

    • @earthchanger
      @earthchanger 4 года назад

      @@kasra72389 you are right

  • @spelunkerd
    @spelunkerd 4 года назад +12

    What an elegantly simple derivation. Gotta wonder why this was never explained in grade school.

    • @rudragajjar454
      @rudragajjar454 4 года назад +1

      This proof is there in class 9 math textbook

    • @VANTABL4CK
      @VANTABL4CK 4 года назад

      @@rudragajjar454 cbse?

    • @rudragajjar454
      @rudragajjar454 4 года назад

      @@VANTABL4CK Yeah chapter 6 lines and angles

  • @markale7328
    @markale7328 7 лет назад +7

    this could be taking notes but thank you so much I really need help with math 😃😉

  • @Invalid571
    @Invalid571 4 года назад +56

    Non Euclidean geometries:
    I'm going to end this mans whole career.

    • @wangzisworks
      @wangzisworks 3 года назад

      😭😭😭😭 I’ve researched non Euclidean geometry on my own and I’m not happy to do it in college haha

  • @grandmastergyorogyoro532
    @grandmastergyorogyoro532 4 года назад +3

    I really loved your explanation of Binomial theorem!

  • @kanishkagadiparthi1789
    @kanishkagadiparthi1789 2 года назад +3

    Wow , this is an awesome way of analyzing a concept.
    This is far better than the environment in which we were taught , thanks a lot .
    Don't memorize stood by it's name, we are really learning in a way we don't have memorize

  • @davidmadisontheguardian
    @davidmadisontheguardian 4 года назад +1

    Watching all of your videos from oldest to newest. This will take a few days; but should give me a very strong understanding of many areas of study.

  • @Apollorion
    @Apollorion 4 года назад +4

    I'd prefer reasoning this way: i.e. driving around the corners & returning to where you came from.
    *At each point you deviate from going straight forward by 180-(internal angle) degrees.
    *In total, you go round once and arive at the same direction of walking/driving i.e. rotate 360 degrees.
    So combined: 360=3*180-a-b-c where a,b,c are the sizes of the internal angles from the different corners. Add a+b+c-360 to the left and right side of this equation and you get:
    a+b+c=180
    Q.e.d.

  • @balaramnaskar80
    @balaramnaskar80 2 года назад +7

    I didn't even thought that any body can look at the angles of triangle from such an angle. It helped me a lot to do my project work.
    Thankyou team @Dont memorise for helping us out through your videos

  • @sandiashvrR
    @sandiashvrR 4 года назад +1

    Finally found something useful
    Thanks a lot😊
    Keep making more of such videos.

  • @redmotherfive
    @redmotherfive 4 года назад +2

    Thank you! Best concise explanation online.

  • @kevinbyrne4538
    @kevinbyrne4538 4 года назад +1

    Very nice, concise, clear proof.
    Thank you. :)

  • @stvp68
    @stvp68 4 года назад +1

    Nicely done. Very clear and easy to follow.

  • @auiefrancisco5459
    @auiefrancisco5459 4 года назад +2

    Thanks video made me learn alot about angles!

  • @7772004dmark
    @7772004dmark 7 лет назад +50

    Wow! This is truly an awesome demonstration.Far and away the best I've come across in a long time. Do you teach other math topics such as pre-calculus and calculus? Thanks.

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  7 лет назад +15

      Hey Daniel, we haven't worked on those topics yet, but we will for sure! Soon :)

    • @arshadali5109
      @arshadali5109 6 лет назад +3

      I didn't under stand

    • @programmingwithsikander3539
      @programmingwithsikander3539 4 года назад +3

      @@arshadali5109 the explanation is amazing. Just watch and also try it out on paper. U will surely understand it.

    • @sumanpandey436
      @sumanpandey436 4 года назад +1

      @@InfinityLearn_NEET hi

    • @nabarajbaral2063
      @nabarajbaral2063 4 года назад +2

      @@InfinityLearn_NEET What does remaining angle means?

  • @mdphybes
    @mdphybes 4 года назад +6

    Thank you very much...clear, concise, and complete, short of explaining why it might be the most important topic in Geometry. I actually did quite well in Geometry in High School but I'm afraid that was many years ago. Although I could remember that the sum of the angles of a triangle equaled 180 degrees, I could not for the life of me remember why, which is always the most important aspect of learning anything. That five year old may be able to answer correctly for more topics immediate in their life, but I really don't think they're smarter than me... well, not all of them anyway.

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  4 года назад

      Thank you very much for the appreciation and for watching.
      To view more videos for free, register on our website: bit.ly/DontMemoriseRegister :)

    • @majibarshaikh8032
      @majibarshaikh8032 Год назад

      No

  • @VenkatReddy-xk7sp
    @VenkatReddy-xk7sp 4 года назад +3

    Superb explanation. Who are watching this in 2019 .

  • @hiteshnaran1499
    @hiteshnaran1499 4 года назад +1

    Clever👍thank you

  • @Mohor786
    @Mohor786 4 года назад +1

    Awesome learning channel..

  • @diveintokpop9305
    @diveintokpop9305 Год назад +1

    Thank you for helping me!💗

  • @anushree6551
    @anushree6551 3 года назад +1

    Great! Simple! Worthy! :)

  • @bartonpaullevenson3427
    @bartonpaullevenson3427 4 года назад

    Nicely done! Thanks for posting.

  • @eross231
    @eross231 4 года назад +56

    Is this the new minecraft enchantment table accent?

  • @chococandy8009
    @chococandy8009 3 года назад +1

    I wish i could get this kind of education before... but no problem i am here now and enjoying these leactures. Thank you sooo much.

  • @jarinhawlader6954
    @jarinhawlader6954 8 лет назад +7

    THANK-YOU SO MUCH YOU SAVED MY LIFE

  • @Tiger-dq8lc
    @Tiger-dq8lc 3 года назад +1

    Thanks to make it easy.

  • @moonwatcher2001
    @moonwatcher2001 4 года назад

    Simple and beautiful. Lovely voice also.

  • @saritamishra8043
    @saritamishra8043 6 лет назад +10

    Better than any other math video,well explained,I was quite afraid for my exam as this question was for 4 marks...Thank you for sharing such a great video

  • @ralflower
    @ralflower 7 лет назад +5

    Awesome explanation. Thanks alot!

  • @soapspangledgames2444
    @soapspangledgames2444 5 лет назад +21

    I have never seen such a good, thorough explanation of why the interior angles always equal 180 degrees. This just goes to show the failures of the U.S. educational system, as none of my schools ever presented this. They are always about rote memorization, not the underlying theory. I had to watch a couple times, but then it clicked and the light bulb came on.
    Thank you SO much for this!

    • @108aditya
      @108aditya 4 года назад

      I think this Channel is Indian as I am too

  • @bhuvanalaxmanlax6648
    @bhuvanalaxmanlax6648 Год назад +1

    Thank you

  • @hemanthvarma5599
    @hemanthvarma5599 3 года назад +2

    Thanks for your help 😎

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад +1

      You are most welcome, Hemanth!
      We are happy to help😊

  • @zohar99100
    @zohar99100 4 года назад +10

    The number 180 is arbitrary. This number has been chosen because it can be divided by many numbers, so the results (partial angles, smaller angles) would be integers. That's why the angel of a straight line is 180. And as a result of this, the sum of the angles of a triangle is 180.
    It can be also reversed: We can decide that the sum of the three angles is 180, then the angel of a straight line would be also 180. This is true only in Euclidic Geometry (Plain Geometry).
    Water boil at 100 degrees. why? The answer is the same. It is also an arbitrary number just for convenience.

    • @angelmendez-rivera351
      @angelmendez-rivera351 4 года назад +6

      zohar99100 Not quite. It is not that 180° was chosen arbitrarily. Not at all. Rather, it is derived from the definition of the circle as being 360°, with the latter being arbitrary. However, this difference is important, because there is much more justification to start with 360° than to start with almost any other number.

  • @randomboy.8827
    @randomboy.8827 2 года назад +1

    This video cleared my doubts.Thank you😊

  • @beenajainjain4610
    @beenajainjain4610 2 года назад +1

    Very very very very very very very very 10000000000000000000000000 times very nice explaination it was mindblowing

  • @StarkIndustries.
    @StarkIndustries. 2 года назад

    Great voice with a spectacular way of teaching. Understood the concept under 2 min. Thanks alot .

  • @disdue_390c4
    @disdue_390c4 6 лет назад

    Thanks I was confused but now I get it now

  • @wasimakram6829
    @wasimakram6829 2 года назад +1

    Thank you very much

  • @sudeesha3810
    @sudeesha3810 4 года назад +6

    Can you teach 11th Mathametics like calculus and differentiation

  • @msegil14
    @msegil14 4 года назад +1

    This is awesome!

  • @janasenaadoni
    @janasenaadoni 4 года назад +1

    Really amazing channel small things are really neglected in education system but u people are even explaining from basics really great please do lot of videos

  • @Seba-ch3yq
    @Seba-ch3yq 4 года назад +1

    Really interesting!

  • @harikeertanareddy775
    @harikeertanareddy775 5 лет назад +3

    very perfect thank god its very useful for my math exam 😃😃😃😃

  • @cherishchandhu8439
    @cherishchandhu8439 4 года назад

    Simple and clear thank u

  • @alltechpro3208
    @alltechpro3208 7 лет назад +2

    Thaanks a lot!!. This is helping me pass my Half yearly examination!!! Cheers!!!! :) :)

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  7 лет назад +1

      That's awesome! Don't forget to register on our website here: bit.ly/DontMemoriseRegister
      It has more awesome videos :)
      #DontMemorise

    • @alltechpro3208
      @alltechpro3208 7 лет назад +1

      I will see :)

  • @mistakess
    @mistakess 2 года назад +2

    great video! it really helped, keep making amazing content

  • @kumarajay8636
    @kumarajay8636 4 года назад

    Very good explanation. Thank you so much.

  • @sunitagiri9522
    @sunitagiri9522 5 лет назад

    Thanks for this video as it helped me much because I was not able to do the chapter.

  • @yogitachauhan4116
    @yogitachauhan4116 6 лет назад

    thanks i cant understand this theorem but u can help me thank u. you r brilliant

  • @cartoonist9265
    @cartoonist9265 3 года назад +1

    Thank u fr the explanation u r teaching is mind blowing

  • @arshpreetkaurclass11c91
    @arshpreetkaurclass11c91 4 года назад +1

    Thanks for tell me useful thinks💖

  • @ishanth8668
    @ishanth8668 2 года назад +2

    Lots of thanks to u ... ❤️ u clear all my doubts 🙏🏻

  • @movies09_230
    @movies09_230 6 лет назад +4

    Well explained thanks😊

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  6 лет назад +1

      Thank you very much for the appreciation and for watching Prabha. :)

  • @trilokigupta7507
    @trilokigupta7507 4 года назад +4

    This thorem is very simple in exam time

  • @siddhantawasthi388
    @siddhantawasthi388 4 года назад +1

    Thanks

  • @danattack4779
    @danattack4779 6 лет назад +2

    Im getting 30s on my tests now that I started trying to find out the sum of the percise degree in all triangle of an angle. Need alot of help I had it all down and more and now just have a serious downfall in a platow series. My mind says strike on the exact moment it sees that I will be weak because of it. All I need is a tutor I have never had. Not telling me how wouldn't be the answer.

  • @nileshgupta3961
    @nileshgupta3961 6 лет назад +3

    wow! nice video and content!! surely worth a thumbs-up! :)

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  6 лет назад +1

      Thank you very much for the love and support.
      Happy Learning :)

  • @AkashKumar-hr2ql
    @AkashKumar-hr2ql 7 лет назад +1

    thanks

  • @chandanapalit5674
    @chandanapalit5674 4 года назад

    Clear as water... Great explanation

  • @yourgamemate7656
    @yourgamemate7656 4 года назад

    Great no words just Bravo Bravo Bravo bravo bravo bravo bravo bravo bravo

  • @ananyachandran.k9425
    @ananyachandran.k9425 2 года назад +1

    Thank you so much ✨🙏

  • @anantkumarshukla-rs2tr
    @anantkumarshukla-rs2tr 5 месяцев назад +1

    good one.

  • @smith8550
    @smith8550 4 года назад +1

    Thank you.. For the explanation.. It's brilliant

  • @rishivarmankamarajah7322
    @rishivarmankamarajah7322 3 года назад +1

    Thank you do look much for putting this video.Because since I was a little bit confused,I went to RUclips and search this 😁
    Thanks once again.You're the best😘❤❤❤

  • @joshepdsouza5237
    @joshepdsouza5237 6 лет назад

    thanks for helping

  • @Deepu7635..........
    @Deepu7635.......... 4 года назад +1

    Wow very nice topic

  • @rohitrohitkumar9919
    @rohitrohitkumar9919 4 года назад

    Amazing job.superb experience

  • @KshuCrazy
    @KshuCrazy 10 месяцев назад

    This is the best explanation of this topic in my life

  • @crispychris8399
    @crispychris8399 3 года назад +2

    Thank you for making this video! It's very helpful :)

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад +1

      It's my pleasure. We are really happy to hear that it was helpful to you. We are glad that you understood the concept. You motivate us to do better. Keep watching our videos. 😊😊

  • @umeshpatel4448
    @umeshpatel4448 5 лет назад +1

    Awesome explanation mam...

  • @shitpostgod2656
    @shitpostgod2656 3 года назад +1

    This channel is actually so effective thank you

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад +1

      Most welcome, Axstro! Gald our videos are helpful to you 😃

  • @suryarajshivam7729
    @suryarajshivam7729 3 года назад

    I thanks this youtube channels from my heart because it helps me to understand maths easily and make easier to solve thanks dont memorise,

    • @InfinityLearn_NEET
      @InfinityLearn_NEET  3 года назад

      Thank you so much Surya for your appreciation. This motivates us to do better. Do support us by subscribing to our channel👍👍

  • @kishanthakor2384
    @kishanthakor2384 4 года назад

    Thankk uu..♥️♥️😍

  • @anandjadhav411
    @anandjadhav411 5 лет назад

    Thanks a lot

  • @rittikmandal4634
    @rittikmandal4634 4 года назад

    BEAUTIFUL!

  • @linksdeath123
    @linksdeath123 7 лет назад +4

    Thank you! this made it so simple.

  • @sagarmandi1069
    @sagarmandi1069 4 года назад +1

    One of my childhood mystery get cleared today
    Thanks

  • @itsUmacreations
    @itsUmacreations 4 года назад

    Nicely explained.... thank you very much

  • @chrisg3030
    @chrisg3030 5 лет назад +1

    A proof I learnt in high school was cut out a paper triangle and fold it so one corner is resting on the opposite side. You'll find that the other two corners can be folded in to meet that first corner so that all three corners together form the sum of the angles on a straight line, which of course is 180 degrees.

  • @netsedmomin94
    @netsedmomin94 4 года назад +1

    Thanks Very much I am now prepared for test

  • @danthurineeraja
    @danthurineeraja 4 года назад +7

    I had a project of derivations.
    whatever derivation I wanted ur video is there and for all derivations, I watched ur video
    thanks a lot

  • @bishalsen6850
    @bishalsen6850 4 года назад

    Wow!...that's was great....you are my another new teacher from now!

  • @sristiprasad4424
    @sristiprasad4424 2 года назад +2

    Nice! This explanation is just Amazing 😆
    I understood everything 😁
    Thak uhh soo much :)

  • @dishagururani7487
    @dishagururani7487 4 года назад

    Excellent videos...THANKSSSSS....

  • @satyanveshi36
    @satyanveshi36 5 лет назад

    वाह, मज़ा आ गया, धन्यवाद

  • @danielmensah2485
    @danielmensah2485 10 месяцев назад

    Thank you, you’ve done a great work

  • @zyleharlene.2934
    @zyleharlene.2934 7 лет назад +1

    thanks for your help.....

  • @ritagahmed8360
    @ritagahmed8360 4 года назад +1

    Thx it is nice 👏😊

  • @AndreaRodriguez-vk6wp
    @AndreaRodriguez-vk6wp 4 года назад +2

    Great video! Just curious, is there another way to prove the triangle sum theorem?

  • @abannnn69
    @abannnn69 3 года назад +1

    Absolutely 👌👌👌 Great video.This video cleared my doubt .keep it up.
    And I love these 2 words
    "Don't Memorise"

  • @Jay-qq7so
    @Jay-qq7so 6 лет назад

    So what degrees does each letter represent? If the triangle is off set the degrees of each angle will be different but will add up to 180* but how do I work that out???

  • @vimalakumari5531
    @vimalakumari5531 Год назад

    Thankyou so much for your explanation

  • @vibhutisahab6917
    @vibhutisahab6917 4 года назад

    Thanks 🙏🏻

  • @alinaseerhyder
    @alinaseerhyder 3 года назад

    Such a great explaination

  • @baselib5263
    @baselib5263 4 года назад +1

    Would be complete if you mentioned synthetic geometry where postulates and constructions are the main tools to 'prove' anything geometric. Nice video btw!

  • @Arifaisal1876
    @Arifaisal1876 4 года назад +1

    I knew it but not sure about it
    Thanks

  • @TorBruheim
    @TorBruheim 4 года назад

    You did proof this very well. I subscribed after this video.