Question

An angle measures 97.6° less than the measure of its supplementary angle. What is the

measure of each angle?

Answer 1

ANSWER -

Let's call the measure of one angle "x". Then, the measure of its supplementary angle would be 180° - x.

According to the problem, the first angle measures 97.6° less than its supplementary angle, so we can set up the following equation:

x = 180° - x - 97.6°

Solving for x, we find:

2x = 277.6°

x = 138.8°

So, one angle measures 138.8° and its supplementary angle measures 180° - 138.8° = 41.2°.