Question

find the measure of the missing angle.

Explanation:

Step1: Recall angle - pair property

The two angles are supplementary (a straight - line forms an angle of 180°).
Let the missing angle be \(a\). Then \(a + 71^{\circ}=180^{\circ}\).

Step2: Solve for \(a\)

Subtract 71° from both sides of the equation: \(a=180^{\circ}-71^{\circ}\).
\(a = 109^{\circ}\)

Answer:

\(109^{\circ}\)