Question

In triangle ABC, if AC is congruent to CB, angle A = 3x + 18, angle B = 7x - 58, & angle C = 2x - 8, find x & the measure of each angle.

Answer 1

Answer:

        Angle A = 75°

        Angle B = 75°

        Angle C = 30°

Explanation:

  If AC is congruent to CB, from figure given we have angle A = angle B.

  Angle A = 3x + 18

  Angle B = 7x - 58

  Angle C = 2x - 8

We have,

        3x + 18 = 7x - 58

         4x = 76

          x = 19

So,

        Angle A = 3*19 + 18 = 75°

        Angle B = 7*19 - 58 = 75°

        Angle C = 2*19 - 8 = 30°