AB is the diameter of a circle with centre O and P is a

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AB is the diameter of a circle with centre O and P is a point on its circumference. If ∠POA = 120°, then the value of ∠PBO is :

1. 30°
2. 60°
3. 50°
4. 40°

Correct Option: B

As per the given in question , we draw a figure of a circle with centre O,

∠AOB = 180°
∠ POA = 120°
∴ ∠ POB + ∠ POA = 180°
∴ ∠ POB = 180° – 120° = 60°
In ∆ OPB,
OP = OB = radius
∴ ∠OPB = ∠PBO = 60°