Question

An angle measures 76° less than the measure of a complementary angle. What is the measure of each angle?

Answer 1

Angle A measures 83° and angle B measures 7°

Explanation:

We have two complementary angles: Angle A and Angle B.

Let angle A measure x°

Angle B will measure x° - 76°

Complementary angles add up to 90° so;

x° + (x - 76)° = 90°

2x° - 76° = 90°

2x° = 166°

x = 83°

So angle A measures 83° and angle B measures 83° - 76° = 7°