Question

An angle measures 77.6° more than the measure of its complementary angle. What is the measure of each angle?

Answer 1

The two complementary angles are 83.8° and 6.2° respectively.

Step-by-step explanation

Complementary angles are angles that sum up to give 90°

Let the two angles be x and y.

x + y = 90°

We are told that one of them is 77.6° more than the other.

x = y + 77.6°

We can then substitute for x

x + y = 90°

y + 77.6° + y = 90°

2y = 90° - 77.6°

2y = 12.4°

Divide both sides by 2

(2y/2) = (12.4°/2)

y = 6.2°

x = 77.6° + y

x = 77.6° + 6.2°

x = 83.8°

Hope this Helps!!!