Question

An angle measures 63.2° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

The first angle measures 76.6°, and the second angle, which is complementary to the first, measures 13.4°.

Step-by-step explanation:

Let the measure of the first angle be x degrees. Since the angles are complementary, their measures add up to 90 degrees. The measure of the second angle will be 90 - x degrees. According to the problem, the first angle measures 63.2° more than its complementary angle, which can be written as:

x = (90 - x) + 63.2

To find the value of x, we need to solve the equation. Simplifying, we get:

2x = 153.2

x = 76.6°

Therefore, the measure of the first angle is 76.6° and the second angle, being its complement, is 90° - 76.6° = 13.4°.