Question

find the measure of the missing angle.

Explanation:

Step1: Recall angle - sum property

The two angles are supplementary, meaning their sum is 180°.

Step2: Set up the equation

Let the missing angle be \(a\). We have \(a + 157^{\circ}=180^{\circ}\).

Step3: Solve for \(a\)

\(a=180^{\circ}- 157^{\circ}\).
\(a = 23^{\circ}\)

Answer:

\(23^{\circ}\)