Question

An angle measures 56.8° less than the measure of its complementary angle. What is the

measure of each angle?

Answer 1

Let x be the measure of the angle in degrees.

We know that the measure of its complementary angle is 90 - x degrees.

According to the problem, the angle measures 56.8 degrees less than its complementary angle.

So:

x = (90 - x) - 56.8

Solving for x:

2x = 90 - 56.8

2x = 33.2

x = 16.6

Therefore, the angle measures 16.6 degrees and its complementary angle measures 73.4 degrees.