The angles of quadrilateral are in the ratio 3: 5: 9: 13. Find all the angles of the quadrilateral.
Let the common ratio between the angles be x. Therefore, the angles will be 3x, 5x, 9x, and 13x respectively
As the sum of all interior angles of a quadrilateral is 3600,
3x + 5x + 9x + 13x = 3600
30x = 3600 x
= 120
Hence, the angles are
3x = 3 × 12 = 360 5x = 5 × 12 = 600
9x = 9 × 12 = 1080 13x = 13 × 12 = 1560