Question

angle of quadnlateral are in ratio 3:4:5:6.Find the angles of quadrilateral.

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Answer 1

hello,

let the quad ABCD with angles in ratio 3:4:5:6

let the angles be 3x,4x,5x,6x

3x+4x+5x+6x=360° (angle sum property of quad.)

18x=360°

x=20

therefore,the angles are

3x=3·20=60°-A

4x=4·20=80°-B

5x=5·20=100°-C

6x=6·20=120°-D

now,A and D are supplementary

and,B and C are supplementary

∴AB║CD

when 2 opposite sides are parallel,the the quad. is trapezium

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Answer 2

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