Question

the measure of an angle is 49°. what is the measure of its supplementary angle?

Explanation:

Step1: Recall supplement - angle formula

Supplementary angles add up to $180^{\circ}$. Let the given angle be $\alpha = 49^{\circ}$ and its supplement be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for the supplement

$\beta=180^{\circ}-\alpha$. Substitute $\alpha = 49^{\circ}$ into the formula: $\beta = 180^{\circ}-49^{\circ}=131^{\circ}$.

Answer:

$131^{\circ}$