Question

the measure of an angle is 140.7°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplementary - angle formula

Supplementary angles add up to 180°. Let the given angle be $\alpha = 140.7^{\circ}$ and the supplementary angle be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for $\beta$

$\beta=180^{\circ}-\alpha$. Substitute $\alpha = 140.7^{\circ}$ into the formula: $\beta = 180 - 140.7=39.3^{\circ}$.

Answer:

$39.3$