Question

Write an angle which is equal to two-thirds of its supplement

Answer 1

Let the angle's supplement be x
Then the angle is 2/3x

A/Q --->
x + 2/3x = 180
(3x + 2x)/3 = 180
x = 180 x 3/5
x = 36 x 3
x = 108°

The angle = 2/3 x 108 = 72°

Hence the required answer is 72°

Hope This Helps You!

Answer 2

supplement angle is sum of two angles are  180° 
    let one angle is x then second angle is (180° - x)

A/C to question,
  an angle = 2/3 × other angle 
   x = 2/3 ( 180° - x)
  3x = 360° - 2x 
  5x = 360°
  x = 72°


Hence one angle is 72° and other angle is 108°