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Question
The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.
Solution
Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x, and 13xrespectively.
As the sum of all interior angles of a quadrilateral is 360º,
∴ 3x + 5x + 9x + 13x = 360º
30x = 360º
x = 12º
Hence, the angles are
3x = 3 × 12 = 36º
5x = 5 × 12 = 60º
9x = 9 × 12 = 108º
13x = 13 × 12 = 156º
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