Question

(a) an angle measures 101°. what is the measure of its sup
(b) an angle measures 34°. what is the measure of its com
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 $\theta = 101^{\circ}$. The supplement $\alpha=180^{\circ}-\theta$.
$\alpha = 180 - 101=79^{\circ}$

Step2: Recall complement - angle formula

The sum of an angle and its complement is 90°. Let the given angle be $\beta = 34^{\circ}$. The complement $\gamma = 90^{\circ}-\beta$.
$\gamma=90 - 34 = 56^{\circ}$

Answer:

measure of the supplement: $79$
measure of the complement: $56$