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Question

The angles of a quadrilateral are in the ratio 2:4:5:7. Find the angles.

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Solution

2:4:5:7

Let x be the common multiple.

2x+4x+5x+7x=360

Sum of angles in a quadrilateral is 3600

18x=360

x=20

2x=2×20=40,4x=4×20=80,5x=5×20=100,7x=7×20=140

40,80,100,140 are angles of quadrilateral.

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