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Three angles of a triangle are in proportion 5 : 6 : 7. Then what is the difference in degrees between the biggest and the smallest angles ?

Three angles of a triangle are in proportion 5 : 6 : 7. Then what is the difference in degrees between the biggest and the smallest angles ? Correct Answer 20

Let the angles be 5x, 6x and 7x. Therefore, 5x + 6x + 7x = 180 or, x = 10 Now, the biggest angle = 7x = 7 x 10 = 70 The smallest angle = 5x = 5 x 10 = 50 Therefore, the difference = 70 - 50 = 20.

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