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.

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°.