Question

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

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180°.

Step2: Calculate the supplementary - angle measure

Let the given angle be \(A = 72^{\circ}\), and the supplementary angle be \(B\). Then \(B=180^{\circ}-A\). Substitute \(A = 72^{\circ}\) into the formula: \(B = 180^{\circ}-72^{\circ}=108^{\circ}\).

Answer:

\(108^{\circ}\)