Question

(a) an angle measures 45°. what is the measure of its complement? (b) an angle measures 113°. what is the measure of its supplement? measure of the complement: measure of the supplement:

Explanation:

Step1: Recall the definition of complementary angles

Complementary angles add up to 90°. Let the given angle be $\alpha = 45^{\circ}$. The complement $\beta$ is found by $\beta=90^{\circ}-\alpha$.
$90 - 45=45$

Step2: Recall the definition of supplementary angles

Supplementary angles add up to 180°. Let the given angle be $\gamma = 113^{\circ}$. The supplement $\delta$ is found by $\delta = 180^{\circ}-\gamma$.
$180 - 113 = 67$

Answer:

measure of the complement: $45^{\circ}$
measure of the supplement: $67^{\circ}$