Question

1. if the measure of an angle is 23°, find the measure of its supplement.

Explanation:

Step1: Recall supplement - angle formula

Two angles are supplementary if their sum is 180°. Let the given angle be $\alpha = 23^{\circ}$ and its supplement be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for the supplement

We can find $\beta$ by rearranging the formula: $\beta=180^{\circ}-\alpha$. Substitute $\alpha = 23^{\circ}$ into the formula, so $\beta = 180^{\circ}-23^{\circ}$.
$180 - 23=157$

Answer:

$157^{\circ}$