Question

(a) an angle measures 61°. what is the measure of its supplement? (b) an angle measures 43°. 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 $180^{\circ}$. Let the given angle be $\theta = 61^{\circ}$. The measure of its supplement $\alpha$ is $\alpha=180^{\circ}-\theta$.

Step2: Calculate the supplement

$\alpha = 180 - 61=119^{\circ}$

Step3: Recall complement - angle formula

The sum of an angle and its complement is $90^{\circ}$. Let the given angle be $\beta = 43^{\circ}$. The measure of its complement $\gamma$ is $\gamma = 90^{\circ}-\beta$.

Step4: Calculate the complement

$\gamma=90 - 43 = 47^{\circ}$

Answer:

measure of the supplement: $119^{\circ}$
measure of the complement: $47^{\circ}$