Question

(a) an angle measures 37°. 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 the definition of complementary angles

Complementary angles add up to 90°.

Step2: Calculate the complement of 37°

$90 - 37=53$

Step3: Recall the definition of supplementary angles

Supplementary angles add up to 180°.

Step4: Calculate the supplement of 37°

$180 - 37 = 143$

Step5: Calculate the complement of 28°

$90 - 28=62$

Step6: Calculate the supplement of 28°

$180 - 28 = 152$

Answer:

(a) Measure of the complement: 53°; Measure of the supplement: 143°
(b) Measure of the complement: 62°; Measure of the supplement: 152°