Question

(a) an angle measures 31°. what is the measure of its supplement? (b) an angle measures 65°. what is the measure of its complement? measure of the supplement: measure of the complement:

Explanation:

Step1: Recall complement - angle formula

Complementary angles add up to 90°.

Step2: Calculate complement for (a)

For an angle of 31°, the complement is 90° - 31° = 59°.

Step3: Recall supplement - angle formula

Supplementary angles add up to 180°.

Step4: Calculate supplement for (a)

For an angle of 31°, the supplement is 180° - 31° = 149°.

Step5: Calculate complement for (b)

For an angle of 65°, the complement is 90° - 65° = 25°.

Step6: Calculate supplement for (b)

For an angle of 65°, the supplement is 180° - 65° = 115°.

Answer:

(a) Measure of the complement: 59°; Measure of the supplement: 149°
(b) Measure of the complement: 25°; Measure of the supplement: 115°