Question

Write the measures of the supplements of the angles given below.
i. 15°
ii. 85°
iii. 120°
iv. 37°
v. 108°
vi. 0°
vii. a°

Answer 1

Answer:

1.165

2 95

3.60

4.143

5.72

6.180

7.180-a

Answer 2

Answer:

1. Let the measure of the supplementary angle be x°.

∴ 15 + x = 180

∴ 15 + x – 15 = 180 – 15

∴ x = 165

∴ The measures of the supplement of an angle of 15° is 165°.

2. Let the measure of the supplementary angle be x°.

∴ 85 + x = 180

∴ 85 + x – 85 = 180 – 85

∴ x = 95

∴ The measures of the supplement of an angle of 85° is 95°.

3. Let the measure of the supplementary angle be x°.

∴ 120 + x = 180

∴ 120 + x – 120 = 180 – 120

∴ x = 60

∴ The measures of the supplement of an angle of 120° is 60°.

4. Let the measure of the supplementary angle be x°.

∴ 37 + x = 180

∴ 37 + x – 37 = 180 – 37

∴ x = 143

∴ The measures of the supplement of an angle of 37° is 143°.

5. Let the measure of the supplementary angle be x°.

∴ 108 + x = 180

∴ 108 + x - 108 = 180 - 108

∴ x = 72

∴ The measures of the supplement of an angle of 108° is 72°

6 Let the measure of the supplementary angle be x°.

∴ 0 + x = 180

∴ x = 180

∴ the measure of the supplement of an angle of measure 0° is 180°.