Question

find the measure of the missing angle.
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Explanation:

Step1: Recall angle - pair property

The two angles are supplementary (a straight - line forms 180°).
Let the missing angle be \(a\). We know that \(a + 142^{\circ}=180^{\circ}\).

Step2: Solve for \(a\)

Subtract 142° from both sides of the equation: \(a=180^{\circ}- 142^{\circ}\).
\(a = 38^{\circ}\)

Answer:

\(38^{\circ}\)