Question

the measure of an angle is 48°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180°.
Let the given angle be $\alpha = 48^{\circ}$ and the supplementary angle be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for the supplementary angle

$\beta=180^{\circ}-\alpha$.
Substitute $\alpha = 48^{\circ}$ into the formula: $\beta = 180 - 48$.
$\beta = 132^{\circ}$.

Answer:

$132^{\circ}$