Question

the measure of an angle is 179.9°. 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 $\alpha = 179.9^{\circ}$ and the supplementary angle be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for the supplementary angle

We can find $\beta$ by $\beta=180^{\circ}-\alpha$. Substitute $\alpha = 179.9^{\circ}$ into the formula: $\beta = 180^{\circ}-179.9^{\circ}=0.1^{\circ}$.

Answer:

$0.1$