Find the 3 missing angles in the triangle - Geometry Triangle Practice Problem

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  • Опубліковано 23 гру 2024
  • How to solve for the angles in a triangle using algebra. Learn more math at TCMathAcademy.....
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КОМЕНТАРІ • 28

  • @panlomito
    @panlomito 12 годин тому +4

    2x + x + (x - 32°) = 180 so 4x = 180 + 32 = 212 -> x = 212 / 4 = 53°

  • @yannledu4783
    @yannledu4783 14 годин тому +1

    Angle x is 53 degrees, angle 2x is 106 degrees and angle (x-32) is 21 degrees. Love your videos by the way ❤

  • @raya.pawley3563
    @raya.pawley3563 14 годин тому +1

    Thank you

  • @tomtke7351
    @tomtke7351 14 годин тому +3

    any triangle
    every triangle
    all triangles
    have combined interior angle sum = 180°
    Therefore, for this triangle:
    x+2x+(x-32°) = 180°
    4x - 32° = 180°

    • @josephlaura7387
      @josephlaura7387 14 годин тому +3

      53degrees, 106degrees, 21degrees

    • @eebinsv
      @eebinsv 14 годин тому

      This assumes a plane triangle. If it’s a spherical triangle the angles sum to greater than 180 degrees, so not any, every and all triangles.

    • @tomtke7351
      @tomtke7351 14 годин тому

      @@eebinsv A triangle is a two-dimensional polygon defined by three line segments, known as sides, that connect three points called vertices. Each triangle has three interior angles, and the sum of these angles always equals 180 degrees. Triangles can be classified based on side lengths (equilateral, isosceles, scalene) and angle measures (acute, right, obtuse)

    • @dazartingstall6680
      @dazartingstall6680 10 годин тому

      @@tomtke7351 They're being pedantic, but they're correct. On a hyperbolic plane (a saddle-back surface, like a Pringle) triangles have interior angles which add up to less than 180°. And on a spherical surface, they add up to more than 180°. (Think of a triangle on a globe, with the sides being from the north pole, down the Greenwich meridian to the equator, then along the equator to 90° east, then back up to the pole. That creates three right-angles.)

    • @tomtke7351
      @tomtke7351 10 годин тому

      @dazartingstall6680 but, by definition, they're NOT triangles

  • @dazartingstall6680
    @dazartingstall6680 10 годин тому +1

    x + 2x + x − 32 = 180
    4x = 212
    x = 53°
    ∴ 2x = 106°, x − 32 = 21°
    _Check: 53 + 106 + 21 = 180_

  • @chrisdissanayake6979
    @chrisdissanayake6979 13 годин тому +1

    Answer: The 3 angles :
    X = 53 degrees
    2X = 106 degrees
    X - 32 = 21 degrees
    -------
    The sum of the 3 angles of a triangle = 180 degrees.
    The sum of the 3 given angles = X+2X+X-32 degrees.
    Therefore,
    X+2X+X-32=180 deg.
    4X-32=180 degrees
    4X=180+32degrees
    X= 212/4 = 53degrees.
    2X = 53 * 2=106 deg.
    X-32= 53-32= 21 deg.

  • @russelllomando8460
    @russelllomando8460 13 годин тому +1

    53, 106, 21 just add all 3 to = 180 easy thanks for the fun.

  • @Stylux-z1p
    @Stylux-z1p 13 годин тому

    Triangle Property : Angle Sum Theorem :
    "The sum of the three interior angles of a triangle is always 180°"
    x° + 2x° + x° - 32° = 180°
    4x° = 180° + 32°
    4x° = 212° 4x°/4 = 212°/4
    x° = 53°
    -------------------------------------
    x° = 53°✅
    2x° = 2 · 53° = 106°✅
    (x - 32°) = 53°- 32° = 21°✅
    53° + 106° + 21° = 180°

  • @stevendebettencourt7651
    @stevendebettencourt7651 12 годин тому +1

    I love me a good algebra problem. Let’s begin.
    There is one fact you must know to solve this problem. That fact is that in flat Euclidean space (such as a piece of paper laid flat), the sum of the measurements of the three angles of any triangle is 180 degrees. This is a triangle in flat Euclidean space, so we can set up our equation:
    x + 2x + (x - 32) = 180
    x + 2x + x - 32 = 180
    Combine the x terms:
    4x - 32 = 180
    Add 32 to both sides:
    4x = 212
    Divide both sides by 4:
    x = 53
    So x is 53 degrees. Let’s make sure:
    53 + 53*2 + (53-32)
    53 + 106 + 21
    180
    There we go. Oh, and those are also the angle measures.

    • @imagseer
      @imagseer 26 хвилин тому

      Someone need to explain how the parentheses in (x-32) are allowed to be ignored.

    • @stevendebettencourt7651
      @stevendebettencourt7651 8 хвилин тому

      @imagseer Yeah, I wasn’t happy about that, but since I didn’t know what x was yet, you just have to get rid of them. It doesn’t affect the answer.

  • @bulwinkle
    @bulwinkle 13 годин тому +1

    The sum of a triangles interior angles being 180 degrees is only true for plane triangles, a special case.

    • @dazartingstall6680
      @dazartingstall6680 10 годин тому

      The default assumption at this level of education is that we're talking about Euclidean geometry.

  • @guztavomartinez1776
    @guztavomartinez1776 14 годин тому +2

    What’s the name of triangle

    • @dazartingstall6680
      @dazartingstall6680 10 годин тому +1

      All the angles and sides are of different sizes, so it's a scalene triangle.

    • @erniemorris9991
      @erniemorris9991 10 годин тому +5

      Frederick

    • @terry_willis
      @terry_willis 6 годин тому +2

      @@erniemorris9991 I was going to say Steve.

    • @dazartingstall6680
      @dazartingstall6680 6 годин тому +1

      @@terry_willis That's its second name. Frederick Steven Percival Archibald Montague-Hatrack III. (Of the Sussex Hatracks. Ever since the infamous cream bun incident of 1798, we don't mention the Yorkshire branch in polite society.)

  • @helenaamaral4659
    @helenaamaral4659 10 годин тому

    45,45 and 90.

  • @pas6295
    @pas6295 6 годин тому

    The angles are 53and 106.and 21 degree.