Question

In triangle​ abc, the measure of angle b is 32 degrees more than three times the measure of angle

a. the measure of angle c is 58 degrees more than the measure of angle
a. find the measure of each angle.

Answer 1

Define x:
Let angle a be x.
angle a = x
angle b = 3x + 32
angle c = x + 58

Find x:
Angles in a triangle add up to 180°:
x + 3x + 32 + x + 58 = 180

Combine like terms:
5x + 90 = 180

Take away 90 from both sides:
5x = 90

Divide by 5 on both sides:
x = 18°

Find the angles:
angle a = x = 18°
angle b = 3x + 32 = 3(18) + 32 = 86°
angle c = x + 58 = 18 + 58 = 76°

Answer: The angles are 18°, 86° and 76°.