Question

The measurement of the complement of an angle is 39 degrees more than the angle. Find the measurement of the angle and its complement

Answer 1

25.5⁰

Explanation:

Angle = x

Complement = 90 - x

Given :

90 - x = x + 39

2x = 51

x = 25.5⁰

Answer 2

Let "a" represent the angle. Then its complement is (90-a). The complement is 39° more than the angle, so we have
(90-a) - a = 39
51 = 2a
25.5 = a

The measure of the angle is 25.5°; its complement is 64.5°.