Question

the measure of an angle is 114°. 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 $\alpha = 114^{\circ}$ and the supplementary angle be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for the supplementary angle

$\beta=180^{\circ}-\alpha$. Substitute $\alpha = 114^{\circ}$ into the formula: $\beta = 180 - 114$.
$180-114 = 66$.

Answer:

$66$