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Question

In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 2:4:5:7. Find the measure of each angle of the quadrilateral.

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Solution

We have A:B:C:D=2:4:5:7 So, Let A=2x,B=4x,C=5x,D=7x.
A+B+C+D=360
2x+4x+5x+7x=360
18x=360
x=20
Thus, the angles are :
A=2×20=40,B=4×20=80,
C=5×20=100
and, D=7x=7×20=140

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