Question

Angle A and angle B are complementary, and their measures

have a difference of 20°. What are the measures of the angles?

Answer 1

35° and 55°

Explanation:

Complementary angles sum to 90°

let one angle be x and the other x + 20 , then

x + x + 20 = 90

2x + 20 = 90 ( subtract 20 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35°°

x + 20 = 35 + 20 = 55

The 2 angles are 35° and 55°