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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╦Ъ Correct Answer Incorrect Answer
    B 105╦Ъ Correct Answer Incorrect Answer
    C 55╦Ъ Correct Answer Incorrect Answer
    D 75╦Ъ Correct Answer Incorrect Answer

    Solution

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

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