Question

An angle measures 8.6° more than the measure of its supplementary angle. What is the measure of each angle?

Answer 1

Explanation:

Let x be the measure of one of the angles.

Since the two angles are supplementary, the other angle measures 180 - x degrees.

We are given that:

x = (180 - x) + 8.6°

Simplifying and solving for x:

x = 180 - x + 8.6

2x = 188.6

x = 94.3

Therefore, one angle measures 94.3 degrees, and its supplementary angle measures 180 - 94.3 = 85.7 degrees.