Question

An angle measures 78° less than the measure of its complementary angle. What is the measure of each angle?

Answer 1

Answer: 6 and 84 degrees

Explanation:

Let the measure of the angle = x.

Since complementary angles sum to 90 degrees,

x + (x+ 78) = 90

2x + 78 = 90

2x = 12

x = 6.

Therefore the angles are 6 and 84 degrees.