AB is the diameter of a circle with centre O. P be a point

Home » Aptitude » Plane Geometry » Question

AB is the diameter of a circle with centre O. P be a point on it. If ∠POA = 120°. Then, ∠PBO = ?

1. 60°
2. 120°
3. 45°
4. 50°

Correct Option: A

According to question , we draw a figure of a circle with centre O ,

∠AOB = 180°
∠AOP = 120°
we know that , ∠AOP + ∠POB = 180°
∴ ∠POB = 180° – 120° = 60°
OP = OB = radii

∴ ∠OPB = ∠PBO =	120°	= 60°
	2