हिंदी

O is the in-centre of the ΔABC, if ∠BOC = 116°, then ∠BAC is

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प्रश्न

O is the in-centre of the ΔABC, if ∠BOC = 116°, then ∠BAC is

विकल्प

  • 42°

  • 62°

  • 58°

  • 52°

MCQ
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उत्तर

52°

Explanation:


The point of intersection of internal bisectors of a triangle is called in-centre.

∠BOC = `90^circ + (∠A)/2`

⇒ 116° = `90^circ + (∠A)/2`

⇒ `(∠A)/2` = 116° – 90° = 26°

∴ ∠A = 26 × 2 = 52°

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Geometry (Entrance Exam)
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