Question

find the measure of the supplement of a 20° angle.
the measure of the supplement of a 20° angle is (square^{circ}). (simplify your answer. type a whole number or a decimal.)

Explanation:

Step1: Recall supplement - angle definition

Two angles are supplementary if their sum is 180°. Let the given angle be $\alpha = 20^{\circ}$ and its supplement be $\beta$. Then $\alpha+\beta = 180^{\circ}$.

Step2: Solve for the supplement

We can find $\beta$ by subtracting $\alpha$ from 180°. So, $\beta=180^{\circ}-\alpha$. Substituting $\alpha = 20^{\circ}$, we get $\beta = 180 - 20$.
$180-20=160$

Answer:

160