Question

(a) an angle measures 98°. 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 formula

The sum of an angle and its supplement is 180°. Let the given angle be $\theta = 98^{\circ}$. The measure of its supplement $\alpha$ is given by $\alpha=180^{\circ}-\theta$.

Step2: Calculate the supplement

$\alpha = 180^{\circ}-98^{\circ}=82^{\circ}$

Step3: Recall complement - angle formula

The sum of an angle and its complement is 90°. Let the given angle be $\beta = 28^{\circ}$. The measure of its complement $\gamma$ is given by $\gamma = 90^{\circ}-\beta$.

Step4: Calculate the complement

$\gamma=90^{\circ}-28^{\circ}=62^{\circ}$

Answer:

measure of the supplement: $82^{\circ}$
measure of the complement: $62^{\circ}$