In the given figure, O is the centre of the circle and ∠AOB = 130°. Find ∠APB.

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SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 1)
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  1. 110°
  2. 115°
  3. 100°
  4. 95°

Answer (Detailed Solution Below)

Option 2 : 115°
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Detailed Solution

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Concept used:

According to the given picture, ∠AOB = 2∠ACB

Again, ∠ACB + ∠APB = 180°

Calculation:

According to the given concept,

∠AOB = 2∠ACB

⇒ ∠ACB = 130/2 = 65° 

Again,  ∠ACB + ∠APB = 180°

⇒ ∠APB = 180° - 65° = 115°

∴ The correct answer is 115°

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