Question

An angle is two third of its supplement find the angle

Answer 1

Let the angle be x

That means the supplement of the angle will be 180 - x

According to the question, $\frac{2}{3}$ * (180 - x) = x

⇒ x = $\frac{2}{3}$ * 180 - $\frac{2}{3}$ x

⇒ x= 120 - $\frac{2}{3}$ x

⇒ x+ $\frac{2}{3}$ x = 120

⇒ $\frac{3x + 2x}{3}$ = 120

⇒ 5x = 360

⇒ x = $\frac{360}{5}$

⇒ x= 72

Hence the angle is 72 degree