Question

(a) an angle measures 45°. what is the measure of its complement? (b) an angle measures 99°. what is the measure of its supplement? measure of the complement: ° measure of the supplement: °

Explanation:

Step1: Recall complement formula

Complementary angles add up to 90°. Let the given angle be $\theta = 45^{\circ}$, and the complement be $x$. Then $x=90^{\circ}-\theta$.
$x = 90^{\circ}-45^{\circ}$

Step2: Recall supplement formula

Supplementary angles add up to 180°. Let the given angle be $\alpha=99^{\circ}$, and the supplement be $y$. Then $y = 180^{\circ}-\alpha$.
$y=180^{\circ}-99^{\circ}$

Answer:

measure of the complement: 45°
measure of the supplement: 81°