Question

the measure of an angle is 72°. what is the measure of its complementary angle?

Explanation:

Step1: Recall complementary - angle definition

Complementary angles add up to 90°. Let the given angle be \(A = 72^{\circ}\) and the complementary angle be \(B\). Then \(A + B=90^{\circ}\).

Step2: Solve for the complementary angle

We can find \(B\) by subtracting \(A\) from 90°. So \(B = 90^{\circ}-A\). Substitute \(A = 72^{\circ}\) into the formula: \(B=90 - 72=18^{\circ}\).

Answer:

\(18^{\circ}\)