Question

    ABCD is cyclic quadrilateral in which A = 72º and B =

    105º What is the difference between the measures of C and D?
    A 35° Correct Answer Incorrect Answer
    B 33° Correct Answer Incorrect Answer
    C 27° Correct Answer Incorrect Answer
    D 30° Correct Answer Incorrect Answer

    Solution

    The sum of opposite angles of a cyclic quadrilateral is 180 o .

    So, ∠A + ∠D = ∠B + ∠C = 180 o

    Or, 72 o  + ∠D = 105 o  + ∠C

    So, ∠D – ∠C = 105 o  – 72 o  = 33 o

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