Question

the measure of an angle is 77.5°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°.

Step2: Calculate the complementary angle

Let the complementary angle be \(x\). Then \(x + 77.5^{\circ}=90^{\circ}\), so \(x = 90^{\circ}-77.5^{\circ}\).
\(x = 12.5^{\circ}\)

Answer:

\(12.5^{\circ}\)