Question

In triangle ABC, the measure of angle B is 34° more than three times the measure of angle A. The measure of angle C is 56° more than the measure of angle A. Find the measure of each angle.​

Answer 1

A = 18

B = 88

C = 74

Explanation:

Givens

B = 3*A + 34

C = A + 56

Equation

A + B + C = 180

Solution

A + 3A + 34 + A +56 = 180 Collect like terms

5A + 90 = 180 Subtract 90 from both sides

5A = 180 - 90

5A = 90 Divide by 4

A = 90 / 5

A = 18

Answer

B = 18*3 + 34 = 54 + 34 = 88

C = 74

Check

A + B + C = 18 + 88 + 74

A + B + C = 180 as it should.