Question

(iv) If an angle is twice its supplement, what is the measure of that angle?
(a) 60°
(b) 45°
(c) 90°​

Answer 1

Answer:

c...................

Answer 2

Answer :-

Let the angle be x

Supplementary angle = (180 - x)

According to the question -

➩ x = 2 ( 180 - x )

➩ x = 360 - 2x

➩ x + 2x = 360

➩ 3x = 360

➩ x = 360/3

➩ x = 120°

Required angle = 120°

Verification -

Angle = 120°

Supplementary angle = 180 - 120 = 60°

According to the question :-

Angle = 2 ( Supplementary angle )

120° = 2 ( 60)

120° = 120°

Hence verified.