Question

the measure of an angle is 56.1°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary - angle property

Supplementary angles add up to 180°.
Let the given angle be $\alpha = 56.1^{\circ}$ and the supplementary angle be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for the supplementary angle

$\beta=180^{\circ}-\alpha$.
Substitute $\alpha = 56.1^{\circ}$ into the formula: $\beta = 180 - 56.1=123.9^{\circ}$.

Answer:

$123.9$