Question

find the measure of the missing angle.

Explanation:

Step1: Recall angle - sum property

The two angles are supplementary, meaning their sum is 180°. Let the missing angle be $x$.
So, $x + 142^{\circ}=180^{\circ}$.

Step2: Solve for the missing angle

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

Answer:

$38^{\circ}$