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Question

If the angles of a quadrilateral are in the ratio 1:2:3:4 find the angles

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Solution

Ratio of the angles 1:2:3:4
Let the angles be x,2x,3x and 4x
x+2x+3x+4x=360o
[ Angle sum property of a quadrilateral]
10x=360o
x=36010;x=36o
2x=2×36=72o,3x=3×36=108o
4x=4×36=144o
The angles are 36o,72o,108o and 144o

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