Question

An angle measures 60° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

The correct answer is 15° and 75°.

Explanation:

n + n + 60° = 90°

2n + 60° = 90°

2n + 60° − 60° = 90° − 60°

2 n = 30°

2n ÷ 2 = 30° ÷ 2

n = 15°

The first angle measures 15°. Now plug in n = 15° to find the measure of the other angle, n + 60°.

n + 60° = 15° + 60° = 75°

So, the two angles measure 15° and 75°.