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      Question

      If O is circumcentre of acute angled triangle ABC, if

      ∠ OBC = 300 then ∠BAC = ?
      A 70° Correct Answer Incorrect Answer
      B 65° Correct Answer Incorrect Answer
      C 60° Correct Answer Incorrect Answer
      D 55° Correct Answer Incorrect Answer

      Solution

      ∠  OBC = ∠  OCB= 300 as radius are equal. ∠  OBC+  ∠ OCB  +  ∠ BOC =180 0  300 + 300 +  ∠ BOC =180 0 So,  ∠ BOC = 120 0 Now, ∠  BOC = 2 ∠  BAC So, ∠ BAC = 1/2 of ∠ BOC = 1/2 of 120 0 = 600

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