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

Let the first angle = 3x
Therefore, the cecond angle = 5x,
Third angle = 9x and
Fourth angle = 13x
Sum of all angles of a Quadrilateral is 360°. Therefore, 3x + 5x + 9x + 13x = 360°
⇒ 30x = 360° ⇒ x = 360°/30 = 12°
Hence, the first angle = 3 × 12° = 36°,
The second angle = 5 × 12° = 60°,
Third angle = 9 × 12° = 108°
The forth angle = 13 × 12 = 156°