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.

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°