Question

the measure of an angle is 157.9°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary angles sum to 180°

Supplementary angles have a sum of \(180^\circ\). So, to find the supplementary angle of \(157.9^\circ\), we subtract the given angle from \(180^\circ\).

Step2: Perform the subtraction

Let \(x\) be the supplementary angle. Then \(x = 180^\circ - 157.9^\circ\). Calculating this, we get \(x = 22.1^\circ\).

Answer:

\(22.1^\circ\)