Question

(a) an angle measures 54. what is the measure of its complement? (b) an angle measures 45. 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 \(90^{\circ}\).
For part (a), if an angle is \(54^{\circ}\), then its complement is \(90^{\circ}-54^{\circ}\).

$$90 - 54=36$$

Step2: Recall the definition of supplementary angles

Supplementary angles add up to \(180^{\circ}\).
For part (b), if an angle is \(45^{\circ}\), then its supplement is \(180^{\circ}-45^{\circ}\).

$$180 - 45 = 135$$

Answer:

(a) \(36\) (b) \(135\)