Two Methods to Calculate the unknown angles | Learn how to Solve the Geometry problem Quickly

Sdílet
Vložit
  • čas přidán 30. 07. 2024
  • Learn how to find the unknown angles in the given diagram in two methods. Solve this tricky geometry problem by using the Exterior Angle Theorem.
    Today I will teach you basic tips and hacks to solve this tricky geometry problem in a simple and easy way. Step-by-step tutorial by PreMath.com
    • Two Methods to Calcula...
    Need help with finding the angle X in this complex Geometry question ? You're in the right place!
    I have over 20 years of experience teaching Mathematics at American schools, colleges, and universities. Learn more about me at
    / premath
    Two Methods to Calculate the unknown angles | Learn how to Solve the Geometry problem Quickly
    #FindUnknownAngles #Geometry #GeometryMath
    #OlympiadMathematics #CollegeEntranceExam #OlympiadPreparation
    #PreMath #PreMath.com #MathOlympics #HowToThinkOutsideTheBox #ThinkOutsideTheBox #HowToThinkOutsideTheBox? #IsoscelesTriangles #EquilateralTriangle #Quadrilateral
    #PythagoreanTheorem #Pythagorean #Triangle #Triangles
    #HowtoCalculatethedistance #Findthedistanceofthelinesegment #LineSegment #length #distance #blackpenredpen #ComplementaryAngles #OlympiadMathematics
    #FindtheAngleX #HowtoSolvethisTrickyGeometryProblemQuickly #IsoscelesTriangleProperty
    #IsoscelesTriangle #IsoscelesTriangles #Isosceles #Triangle #Triangles
    #CorrespondingAngles #ExteriorAngleTheorem
    Olympiad Mathematics
    pre math
    Po Shen Loh
    Exterior angle theorem
    Triangle
    premath
    premaths
    Subscribe Now as the ultimate shots of Math doses are on their way to fill your minds with the knowledge and wisdom once again.
  • Jak na to + styl

Komentáře • 72

  • @brunolimaengenharia
    @brunolimaengenharia Před rokem +3

    Great, thanks. I'm teacher too, but always learn with your videos.

    • @PreMath
      @PreMath  Před rokem

      You are welcome!
      Glad to hear that!
      Thanks for your feedback! Cheers!
      You are awesome, my dear friend, Bruno. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

    • @natolejano2486
      @natolejano2486 Před rokem +1

      Um Br aqui ?

    • @brunolimaengenharia
      @brunolimaengenharia Před rokem

      @@natolejano2486 Siiim

  • @sadafkhanam7220
    @sadafkhanam7220 Před rokem +2

    Nice and easy question..😊👍.
    ... I showed long but it's easy solution...
    Exterior angle,
    8x= 5X+z
    So, z= 3x
    Now exterior angle,
    6x=5x+y
    So, y= x
    In triangle,
    5x+ x+3x= 180°
    9x=180°
    x= 20°
    So,
    5x= 100°
    6x= 120°
    8x= 160° ans...

    • @PreMath
      @PreMath  Před rokem +1

      Great job
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @geraldillo
    @geraldillo Před rokem +1

    Nice problem, here's my approach;
    sum of interior angles a,b and c =180º
    180º minus angles angle c = angle a +angle b
    180º-5x=180º-6x + 180º-8x
    180º-5x=360-14x
    14x-5x=360º-180º
    9x=180º
    x=20º

    • @PreMath
      @PreMath  Před rokem

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @epimaths
    @epimaths Před rokem

    bài toán tính toán góc hình học rất hay.

  • @zplusacademy5718
    @zplusacademy5718 Před rokem +1

    Beautiful sharing ❤️🙏 sir

    • @PreMath
      @PreMath  Před rokem

      Thanks a lot
      Glad you think so!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @HappyFamilyOnline
    @HappyFamilyOnline Před rokem +2

    Awesome👍
    Thanks for sharing😊😊

    • @PreMath
      @PreMath  Před rokem

      Thank you too
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @normanc918
    @normanc918 Před rokem +1

    Thank you for your video. I solved it myself prior to watching yours, by your "second method" as it is simplier to do it.

    • @PreMath
      @PreMath  Před rokem

      Nice work!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @AnonimityAssured
    @AnonimityAssured Před rokem +3

    An in-your-head quickie with the External Angle Theorem.

    • @PreMath
      @PreMath  Před rokem

      Thanks for your feedback! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @KAvi_YA666
    @KAvi_YA666 Před rokem +2

    Thanks for video.Good luck sir!!!!!!!!!!!!

    • @PreMath
      @PreMath  Před rokem +1

      Thank you too
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @TienNguyen-zz8gr
    @TienNguyen-zz8gr Před rokem +1

    I was completely pleased that I could solve it !!!

    • @PreMath
      @PreMath  Před rokem +1

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @abdullahmasud
    @abdullahmasud Před rokem +2

    Brilliant Sir💡

    • @PreMath
      @PreMath  Před rokem

      Glad you think so!
      Thanks for your continued love and support!
      You are awesome, Abdullah. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @Waldlaeufer70
    @Waldlaeufer70 Před rokem +3

    Step 1:
    6x = 5x + β
    β = 6x - 5x = x
    Step 2:
    8x + β = 180°
    8x + x = 180°
    9x = 180°
    x = 20°
    α = 9x - 6x = 3x = 3 * 20° = 60°
    β = x = 20°
    γ = 5x = 5 * 20° = 100°

    • @PreMath
      @PreMath  Před rokem

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @g.r.onlineclass
    @g.r.onlineclass Před rokem +2

    Thank you sir 🙏😊🙏...

    • @PreMath
      @PreMath  Před rokem +1

      Most welcome, dear
      Thank you! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @Copernicusfreud
    @Copernicusfreud Před rokem +2

    Yay! I solved it. I used the first method, but it is nice to know the second method.

    • @JLvatron
      @JLvatron Před rokem

      The 2nd method can be derived from the 1st method.

    • @PreMath
      @PreMath  Před rokem

      Great job!
      Glad you think so!
      Thanks for sharing! Cheers!
      You are awesome, Mark. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @mahalakshmiganapathy6455

    Thank you sir

    • @PreMath
      @PreMath  Před rokem

      So nice of you, Mahalakshmi
      Thank you! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @Mani_yt77
    @Mani_yt77 Před rokem +2

    Sir I was know how solve but you really good 👍 love from india❤️❤️

    • @PreMath
      @PreMath  Před rokem +1

      Thanks and welcome
      You are awesome, Manish. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @alster724
    @alster724 Před rokem +1

    Got it in less than 20 seconds.
    Solved on my own before playing the video and fast forwarded to the end to double check if my answer matches with the video which turns out it did.
    I used Method 2 because it is faster

    • @PreMath
      @PreMath  Před rokem

      Super!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @kennethstevenson976
    @kennethstevenson976 Před rokem +1

    Very easy, define variables, the sum of the angles in a triangle equal 180 degrees, solve.

    • @PreMath
      @PreMath  Před rokem

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @jesminakter2577
    @jesminakter2577 Před rokem +1

    Very good question❤️

    • @PreMath
      @PreMath  Před rokem

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @sergeyvinns931
    @sergeyvinns931 Před 25 dny

    5x+180-6x+180-8x=180, 360-9x=180, 9x=180, x=20, 6x=120, 5x=100, 8x=160.

  • @Teamstudy4595
    @Teamstudy4595 Před rokem +2

    Ans : 5x = 100, 6x = 120 and 8x = 160

    • @PreMath
      @PreMath  Před rokem

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @highermaths
    @highermaths Před rokem +1

    Nice video

    • @PreMath
      @PreMath  Před rokem

      Glad you think so!
      Thanks for your feedback! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @AmirgabYT2185
    @AmirgabYT2185 Před měsícem +1

    100°; 120°; 160°

  • @RobG1729
    @RobG1729 Před rokem +1

    I would use the exterior angle theorem twice to determine the value of the two unknown angles in terms of x.

    • @PreMath
      @PreMath  Před rokem +1

      Thanks for your feedback! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

    • @RobG1729
      @RobG1729 Před rokem +1

      Your math videos are among my favorites with your clear explanations of each step. Watching these are a good way to keep one's brain active.

    • @PreMath
      @PreMath  Před rokem

      @@RobG1729 Thanks dear. You are the best!

    • @RobG1729
      @RobG1729 Před rokem

      Do you know of the connection between 1729 and Ramanujan?

  • @montynorth3009
    @montynorth3009 Před rokem +1

    Another way was that angle ABC = 6x - 5x = x.
    Then x + 8x = 180.
    9x =180.
    x = 20.

    • @PreMath
      @PreMath  Před rokem

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @amitavadasgupta6985
    @amitavadasgupta6985 Před rokem +1

    • @PreMath
      @PreMath  Před rokem

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome, Amitava ji. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @anatoliy3323
    @anatoliy3323 Před rokem +1

    Merry Christmas 🌲⛄ Pleasant Christmas vacation 🤩

    • @PreMath
      @PreMath  Před rokem

      Happy holidays and Merry Christmas to you as well!
      Thanks for your continued love and support!
      You are the best, my dear friend. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed and safe 😀

  • @alexniklas8777
    @alexniklas8777 Před rokem

    Simple problem, x= 20°. Triangle angles: 60°;100°;20°

  • @rudychan8792
    @rudychan8792 Před rokem +1

    Easy Peasy: x = 20° 😉
    120° , 100° , 160° ∆

    • @PreMath
      @PreMath  Před rokem +1

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @devondevon4366
    @devondevon4366 Před rokem

    Very easy
    since x=20 then
    100 , 120, 160

  • @sergeyvinns931
    @sergeyvinns931 Před 25 dny

    5x+8x-5x=180, 14x-5x=180, 9x=180, x=20,....

  • @jakkima1067
    @jakkima1067 Před rokem +1

    6x = 5x + 1x; 1x + 8x = 180; 9x = 180; x = 20;

    • @PreMath
      @PreMath  Před rokem +1

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

    • @jakkima1067
      @jakkima1067 Před rokem +1

      @@PreMath . with respect to your talent, from Russia

    • @PreMath
      @PreMath  Před rokem +1

      @@jakkima1067
      Thanks dear. You are the best!

  • @thomakondaciu6417
    @thomakondaciu6417 Před rokem +1

    X=20

    • @PreMath
      @PreMath  Před rokem

      Excellent!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @giuseppemalaguti435
    @giuseppemalaguti435 Před rokem +1

    x=20

    • @PreMath
      @PreMath  Před rokem

      Excellent, Giuseppe!
      Thanks for sharing! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀

  • @broytingaravsol
    @broytingaravsol Před rokem +1

    nothing difficult

    • @PreMath
      @PreMath  Před rokem

      Thanks for your feedback! Cheers!
      You are awesome. Keep it up 👍
      Love and prayers from the USA! 😀
      Stay blessed 😀