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    Question

    In the given figure O is the centre, then find ∠ACB

    ?
    A 60° Correct Answer Incorrect Answer
    B 90° Correct Answer Incorrect Answer
    C 120° Correct Answer Incorrect Answer
    D 80° Correct Answer Incorrect Answer

    Solution

    OA = OB (radius) Then ∠OAB = ∠OBA = 30° {Angle subtended by the radius to the centre is} ∠AOB = 180 - (∠OAB+∠OBA) = 180 - 30 - 30 = 120° Major ∠AOB = 360 - 120 = 240° Then ∠ACB = 1/2 × 240 = 120° {Angle subtended in the arc is half of that subtended at the centre.}

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