Question

the measure of an angle is 160°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplement - angle definition

Supplementary angles add up to 180°. Let the given angle be \(A = 160^{\circ}\) and its supplementary angle be \(B\). Then \(A + B=180^{\circ}\).

Step2: Solve for the supplementary angle

We can find \(B\) by subtracting \(A\) from 180°. So \(B = 180^{\circ}-A\). Substitute \(A = 160^{\circ}\) into the formula: \(B=180 - 160=20^{\circ}\).

Answer:

20°