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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