Question

(a) an angle measures 27°. what is the measure of its complement? (b) an angle measures 30°. 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 $\alpha = 27^{\circ}$. The measure of its complement $\beta$ is found by $\beta=90^{\circ}-\alpha$.
$90 - 27=63$

Step2: Recall the definition of supplementary angles

Supplementary angles add up to 180°. Let the given angle be $\gamma = 30^{\circ}$. The measure of its supplement $\delta$ is found by $\delta = 180^{\circ}-\gamma$.
$180 - 30=150$

Answer:

measure of the complement: $63$°
measure of the supplement: $150$°