Question

In the quadrilateral ∠P:∠Q:∠R:∠S 3:4:6:7. Calculate each angle of the quadrilateral and then prove that PQ and SR are parallel to each other.
i) Is PS also parallel to QR?
ii) Assign a special name to quadrilateral PQRS.​

Answer 1

Answer:

3x+4x+6x+7x= 20x

so, 20x=360

x=18

3x= 54°

4x =72°

6x= 108°

7x= 126°

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Answer 2

Answer:

Let the common ratio be x

P=3x

Q=4x

R=6x

S=7x

Sum of all angles of quadrilateral=360

3x+4x+6x+7x=360

X=17( this will come in decimal)

then solve it yourself