Question

The angles P,Q,R & S of a Quadrilateral are in the ratio 1:3:7:9.Then PQRS is a​

Answer 1

Answer:It will be a trapezium because all angles are different

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Step-by-step explanation:

Answer 2

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Answer:

PQRS is a trapezium.

Step-by-step explanation:

Given that that,

∠P:∠Q:∠R:∠S=1:3:7:9

Let ∠P,∠Q,∠R,∠S be 1x,3x,7x,9x respectively.

∴∠P+∠Q+∠R+∠S=1x+3x+7x+9x

Now by using angle sum property,∠P+∠Q+∠R+∠S=360°

360=1x+3x+7x+9x

360=20x

x=360/20=18°

THUS,

∠P=1x=18°

∠Q=3x=3×18°=54°

∠R=7x=7×18°=126°

∠S=9x=9×18°=162°

When the diagram of the quadrilateral with above angles will be drawn by  a protractor it will be found that THE QUADRILATERAL IS A TRAPEZIUM.

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