Question

You can represent the measures of an angle and its complement as x° and (90 − x)°. Similarly, you can represent the measures of an angle and its supplement as x° and (180 − x)°. Use these expressions to find the measures of the angles described.

The measure of an angle increased by 52° is equal to the measure of its complement.

The measure of the angle is
° and the measure of its complement is
°.

Answer 1

Explanation:

Let the angle be x°

On increasing it by 52°

New angle = x + 52°

Comement of (x + 52°)

= 90° - (x + 52°)

=90° - x - 52

= 38° - x