Question

the measure of an angle is 46.6°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary - angle definition

Supplementary angles add up to $180^{\circ}$.

Step2: Set up the subtraction

Let the given angle be $\alpha = 46.6^{\circ}$, and the supplementary angle be $\beta$. Then $\beta=180^{\circ}-\alpha$.

Step3: Calculate the supplementary - angle measure

$\beta = 180^{\circ}-46.6^{\circ}=133.4^{\circ}$

Answer:

$133.4^{\circ}$