The angles of a quadrilateral are 3x, 5x, 9x and 13x respectively.
We know, sum of all interior angles of a quadrilateral = 360°
Therefore, 3x + 5x + 9x + 13x = 360°
30x = 360°
or x = 12°
Hence, angles measures are
3x = 3(12) = 36°
5x = 5(12) = 60°
9x = 9(12) = 108°
13x = 13(12) = 156°