Suppose the measures of four angles are 3x, 5x, 9x and 13x.

∴ 3x + 5x + 9x + 13x = 360° [Angle sum property of a quadrilateral]

⇒ 30x = 360°

⇒ x = 360/ 30 ° = 12°

⇒ 3x = 3 × 12° = 36°

5x = 5 × 12° = 60°

9x = 9 × 12° = 108°

13x = 13 × 12° = 156°

∴ the angles of the quadrilateral are **36°, 60°, 108° and 156° Ans**