Question

(a) an angle measures 108°. 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 - angle relationship

Supplementary angles add up to 180°. Let the given angle be $\theta = 108^{\circ}$. The supplement $\alpha$ is found by $\alpha=180^{\circ}-\theta$.
$\alpha = 180 - 108$

Step2: Calculate the supplement

$\alpha=72^{\circ}$

Step3: Recall complement - angle relationship

Complementary angles add up to 90°. Let the given angle be $\beta = 28^{\circ}$. The complement $\gamma$ is found by $\gamma = 90^{\circ}-\beta$.
$\gamma=90 - 28$

Step4: Calculate the complement

$\gamma = 62^{\circ}$

Answer:

measure of the supplement: $72^{\circ}$
measure of the complement: $62^{\circ}$