Question

An angle measures 48° more than the measure of its complementary angle. What is the

measure of each angle?

Answer 1

69° and 21° is the answer.

Answer 2

The angles measure 21 degrees and 69 degrees.

Explanation:

Complementary angles have a sum of 90 degrees when added together.

Let's call the complementary angle x. We can write the angle that we're looking for as in terms of x as x + 48.

Since these angles must sum to 90 we can write the equation and solve:

x + x + 48 = 90

2x + 48 = 90

2x + 48 - 48 = 90 - 48

2x = 42

x = 21

x + 48 = 69

21 degrees and 69 degrees.