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

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

1.	The angles of a quadrilateral are in the ratio 3:5:9:13. Find all the angles of a quadrilateral
Answer» Let angles of quardilateral are 3x ,5x, 9x, and 13x.As we know that the sum of all angles of a quardilateral are 360°.Therefore 3x+5x+9x+13x=360° 30x= 360° x=12°Hence, first angle =3x=3×12°= 36° Second angle= 5x=5×12°=60° Third angle=9x=9×12°=108° Fourth angle=13x=13×12°=156°