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    Question

    If O is circumcentre of acute angled triangle ABC, if

    ∠ OBC = 150 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= 150 as radius are equal. ∠ OBC+ ∠ OCB + ∠ BOC =180 0 150 + 150 + ∠ BOC =180 0 So, ∠ BOC = 150 0 Now, ∠ BOC = 2 ∠ BAC So, ∠ BAC = 1/2 of ∠ BOC = 1/2 of 1500 = 750

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