Question

An angle measures 38° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

One angle is 26 degrees and the other is 64 degrees.

Explanation:

Complementary angles add up to a total of 90 degrees. Therefore, if one of the two angles is known to be 38 degrees less, then the other angle can be calculated:

90 = (x-38) + (x)

52 = 2x

26 = x

This means that one of the angles is 26 degrees, and the other is 64 degrees.