Question

(a) an angle measures 116°. what is the measure of its supplement? (b) an angle measures 41°. 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 $\theta_1 = 116^{\circ}$, and its supplement be $x$. Then $x=180^{\circ}-\theta_1$.
$x = 180 - 116$

Step2: Calculate supplement

$x=64^{\circ}$

Step3: Recall complement formula

Complementary angles add up to 90°. Let the given angle be $\theta_2 = 41^{\circ}$, and its complement be $y$. Then $y = 90^{\circ}-\theta_2$.
$y=90 - 41$

Step4: Calculate complement

$y = 49^{\circ}$

Answer:

measure of the supplement: $64^{\circ}$
measure of the complement: $49^{\circ}$