Question

(a) an angle measures 110°. what is the measure of its supplement? (b) an angle measures 28°. what is the measure of its complement? measure of the supplement: ° measure of the complement: °

Explanation:

Step1: Recall supplement formula

Supplementary angles add up to 180°. Let the given angle be $\theta_1 = 110^{\circ}$, and its supplement be $x$. Then $x=180^{\circ}-\theta_1$.
$x = 180 - 110$

Step2: Calculate supplement

$x=70^{\circ}$

Step3: Recall complement formula

Complementary angles add up to 90°. Let the given angle be $\theta_2 = 28^{\circ}$, and its complement be $y$. Then $y = 90^{\circ}-\theta_2$.
$y=90 - 28$

Step4: Calculate complement

$y = 62^{\circ}$

Answer:

measure of the supplement: $70^{\circ}$
measure of the complement: $62^{\circ}$