Question

the angle of quadrilateral are in the ratio 3 ratio 5 ratio 9 ratio 13 find all the angles of the quadrilateral

Answer 1

3x+5x+9x+13x= 360
30x=360
x=360/30
x=12

3x =3×12=36
5x=5×12=60
9x=9×12=208
13x=13×12=156

Answer 2

Given that ,

Ratio of the angles = 3:5:9:13

The angles are 3x , 5x , 9x , 13x

$\large\boxed{\mathsf{\pink{3x\:+\:5x\:+\:9x\:+\:13x\:=\:360⁰[Angle\:Sum\: Property]}}}$

30x = 360⁰

$x \: = \frac{360}{30}$

Therefore, x = 12

Angles are :

----- 3x = 3 × 12 = 36⁰

----- 5x = 5 × 12 = 60⁰

----- 9x = 9 × 12 = 208⁰

----- 13x = 13 × 12 = 156⁰