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      Question

      In a triangle ABC, the incenter is at O. Find angle BAC

      if angle BOC=115°.
      A 20° Correct Answer Incorrect Answer
      B 50° Correct Answer Incorrect Answer
      C 40° Correct Answer Incorrect Answer
      D 30° Correct Answer Incorrect Answer

      Solution

      When the bisector of ∠B and ∠C intersects At the O. Then – ∠BOC =90 ° + ∠A/2 115° =90 + ∠A/2 ∠A/2=25 ° ∠A =25 °×2 =50° ∠A =50°

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