Question

An angle measures 103.2° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

38.4° and 141.6°

Explanation:

Supplementary angles add up to 180°.

If x is the smaller angle, and 180−x is the supplementary angle, then:

x = (180 − x) − 103.2

x = 76.8 − x

2x = 76.8

x = 38.4

The angle is 38.4°, and the supplementary angle is 141.6°.