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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

Sum of the angles if a qudrilateral=360 degrees
the ratio of angles =2:4:5:7
let the angles be 2x ,4x, 5x, 7x
So 2x+4x+5x+7x=360
18x=360
x=360/18
x=20
So 1st angle =2x=2×20=40
2nd angle=4x=4×20=80
3rd angle=5x=5×20=100
4th angle=7x=7×20=140


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