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Question

The angles of a quadrilateral are in the ratio 1:2:3:4. Find the measures of each of the four angles.

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Solution

Given, the four angles of a quadrilateral are in the ratio 1:2:3:4
Let the angles be x, 2x, 3x & 4x.
∴ x + 2x + 3x + 4x = 360
⇒ 10x =360
∴ x = 36
∴ angles are 36 , 72 , 108 & 144.

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