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Question

The angles of a qudarilateral are in the ratio 3 : 5 : 9 : 13. Find all the angles of the quadrilateral.

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Solution

Let the angles be 3x,5x,9x, and 13x.
Then,
3x+5x+9x+13x=360

30x=360

x=12

Hence, the angles are 36o,60o,108o,156o.

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