Question

An angle measures 64.8° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

77.4 degrees and 12.6 degrees

Explanation:

Let the angles be x and x - 64.8.

Therefore, on the basis of knowledge that complementary angles add up to 90 degrees :

x + x - 64.8 = 90

2x = 154.8

x = 77.4 degrees

x - 64.8 = 77.4 - 64.8 = 12.6 degrees