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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