Question

Find the supplement of a
SITOS
۱ los
-
105
180
75°
& 2
g
S+= 180°- 87
E 103°​

Answer 1

Answer:

(i)

Let the measure of the supplementary angle be a.

15 + a = 180

∴ a = 165°

Hence, the measure of the supplement of an angle of measure 15° is 165°.

(ii)

Let the measure of the supplementary angle be a.

85 + a = 180

∴ a = 95°

Hence, the measure of the supplement of an angle of measure 85° is 95°.

(iii)

Let the measure of the supplementary angle be a.

120 + a = 180

∴ a = 60°

Hence, the measure of the supplement of an angle of measure 120° is 60°.

(iv)

Let the measure of the supplementary angle be a.

37 + a = 180

∴ a = 143°

Hence, the measure of the supplement of an angle of measure 37° is 143°.

(v)

Let the measure of the supplementary angle be a.

108 + a = 180

∴ a = 72°

Hence, the measure of the supplement of an angle of measure 108° is 72°.

​(vi)

Let the measure of the supplementary angle be a.

0 + a = 180

∴ a = 180°

Hence, the measure of the supplement of an angle of measure 0° is 180°.

(vii)

Let the measure of the supplementary angle be x.

a + x = 180

∴ x = (180 − a)°

Hence, the measure of the supplement of an angle of measure a° is (180 − a)°.

Explanation: