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    Question

    If O is circumcentre of acute angled triangle ABC, if

    ∠ OBC = 180 then ∠BAC = ?
    A 80° Correct Answer Incorrect Answer
    B 75° Correct Answer Incorrect Answer
    C 72° Correct Answer Incorrect Answer
    D 66° Correct Answer Incorrect Answer

    Solution

    ∠  OBC = ∠  OCB= 180 as radius are equal. ∠  OBC+  ∠ OCB  +  ∠ BOC =180 0  180 + 180 +  ∠ BOC =180 0 So,  ∠ BOC = 144 0 Now, ∠  BOC = 2 ∠  BAC So, ∠ BAC = 1/2 of ∠ BOC = 1/2 of 1440 = 720

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