Question

Angle A and angle B are complementary angles. If measure angle A= (2x – 4)º and measure angle

B = (5x + 17)°, then find the measure of angle A.

Answer 1

Angle A = 18°

Explanation:

since the angles are complementary, they add up to 90°

(2x-4) + (5x+17) = 90

add like terms

7x-4+17=90

simplify left side

7x+13=90

subtract 13 from both sides

7x=77

divide both sides by 7

x=11

plug in x to find the measure of angle A

2(11) - 4

multiply 2*11 first

22-4

simplify

18