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    Question

    The ratio of the angles ∠A and ∠B of a

    non-square rhombus ABCD is 7:5, then the value of the ∠C is
    A 65˚ Correct Answer Incorrect Answer
    B 105˚ Correct Answer Incorrect Answer
    C 55˚ Correct Answer Incorrect Answer
    D 75˚ Correct Answer Incorrect Answer

    Solution

    Ratio of ∠A and ∠B is 7:5 (∠A)/(∠B) = 7/5 In rhombus, ∠A + ∠B = 180˚ Let the angles be 7x and 5x Then, 7x + 5x = 180 X = 180/12 = 15˚ A = 7 × 15 = 105˚ ∠A = ∠C = 105˚

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