Question

In a quadrilateral PQRS, the angles P, Q, R and S are in the ratio 3 : 4 : 5 : 6. Find the measure of each angle of the quadrilateral.​

Answer 1

Answer:

Answer

Ratios of angles are 3:4:5:6

Let the angles be P=3x,Q=4x,R=5x and S=6x.

Sum of angles of the quadrilateral is 360

o

.

∴ 3x+4x+5x+6x=360

o

⇒ 18x=360

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⇒ x=

18

360

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⇒ x=20

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⇒ ∠P=3x=3×20

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=60

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⇒ ∠Q=4x=4×20

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=80

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⇒ ∠R=5x=5×20

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=100

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⇒ ∠S=6x=6×20

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=120

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⇒ ∠P+∠S=60

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+120

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=180

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⇒ ∠Q+∠R=80

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+100

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=180

o

∴ PQ∥RS

Since, one pair of quadrilateral is parallel then, it is trapezium.

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Answer 2

Answer:

so I think the answer is 3cm , 4cm,5cm and 6cm

Step-by-step explanation:

I hope this will help you