Question

the measure of an angle is 10.8°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is $180^{\circ}$. Let the given angle be $\alpha = 10.8^{\circ}$ and its supplementary angle be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for the supplementary angle

We can find $\beta$ by subtracting $\alpha$ from $180^{\circ}$. So, $\beta=180^{\circ}-\alpha$. Substituting $\alpha = 10.8^{\circ}$, we get $\beta = 180 - 10.8=169.2^{\circ}$.

Answer:

$169.2^{\circ}$