Question

An angle measures 29.2° less than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

104.6 deg, 75.4 deg

Explanation:

One angle measures x.

The other angle measures 29.2 deg less than x, so it measures x - 29.2.

They are supplementary angles, so the sum of their measures is 180 deg.

x + x - 29.2 = 180

2x - 29.2 = 180

2x = 209.2

x = 104.6

x - 29.2 = 75.4

Answer: 104.6 deg, 75.4 deg