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Question

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral.

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Solution

Let x be the measure of each angle.Then the ratio becomes x : 2x : 4x : 5x.Since, the sum of all angles in a quadrilateral is 360°, we have:x+2x+4x+5x=360°12x=360°x=360°12x=30°Thus, the angles are:x=30°2x=60°4x=120°5x=150°

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