Question

the measure of an angle is 75.2°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles sum to 90°.

Step2: Calculate the complementary angle

Let the angle be \(x = 75.2^{\circ}\), and the complementary angle be \(y\). Then \(y=90 - x\). Substitute \(x = 75.2^{\circ}\) into the formula: \(y = 90^{\circ}-75.2^{\circ}=14.8^{\circ}\).

Answer:

14.8