दी गई आकृति में, O वृत्त का केंद्र है और ∠AOB = 130° है। ∠APB ज्ञात कीजिए।

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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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प्रयुक्त संकल्पना:

दिए गए चित्र के अनुसार, ∠AOB = 2∠ACB

पुनः, ∠ACB + ∠APB = 180°

गणना:

दी गई संकल्पना के अनुसार,

∠AOB = 2∠ACB

⇒ ∠ACB = 130/2 = 65° 

पुनः,  ∠ACB + ∠APB = 180°

⇒ ∠APB = 180° - 65° = 115°

सही उत्तर 115° है

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