In triangle ABC the measure of angle C is six times the measure of angle B4 times angle a is 20 more than 20 times angle B find th

Question

In triangle ABC the measure of angle C is six times the measure of angle B4 times angle a is 20 more than 20 times angle B find the measures of each angle in degrees

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Khánh Gia 1 month 2022-12-29T00:03:23+00:00 1 Answer 0 views 0

Answer ( 1 )

  1. Euphemia
    0
    2022-12-29T00:05:12+00:00
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    The values of the three angles in the given triangle are; B = 14.583°;
    A = 77.917°; C = 87.5°

    What is the sum of angles in the triangle?

    We are told that the measure of angle C is six times the measure of angle B. Thus, this can be expressed as;
    C = 6B
    We are told that 4 times angle A is 20 more than 20 times angle B. Thus, this can be expressed as;
    4A = 20B + 20
    Divide through by 4 to get;
    A = 5B + 5
    No, we know that sum of angles in a triangle is 180°. Thus;
    5B + 5 + B + 6B = 180
    12B + 5 = 180
    12B = 180 – 5
    12B = 175
    B = 175/12
    B = 14.583°
    A = 5(175/12) + 5
    A = 77.917°
    C = 6 * 175/12
    C = 87.5°
    Read more about Angles in a triangle at; https://brainly.com/question/7620723
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