Q. 474.5( 4 Votes )
The angles P, Q, A. parallelogram
B. trapezium with PQ
RS
C. trapezium with QR
PS
D. kite
Answer :
Given: Angles of a quadrilateral are in the ratio 1: 3: 7: 9
Formula Used: Sum of the angles of a quadrilateral = 3600
Let the angles be x, 3x, 7x, and 9x
Adding the angles we get,
x + 3x + 7x + 9x = 3600
⇒ 20x = 3600
⇒ x = 180
So, we have,x = 180
3x = 540
7x = 1260
9x = 1620
Angles P, Q, R and S = 180, 540, 1260 & 1620
∠ P ,∠S & ∠Q, ∠R are supplementary

So, PQ ||RS and it’s a trapezium
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