Question

the measure of an angle is 32°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to 180°.

Step2: Set up the equation

Let the given angle be $\alpha = 32^{\circ}$, and the supplementary angle be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step3: Solve for the supplementary angle

$\beta=180^{\circ}-\alpha$. Substitute $\alpha = 32^{\circ}$ into the equation: $\beta = 180^{\circ}-32^{\circ}=148^{\circ}$.

Answer:

$148^{\circ}$