Question

the angle of quadrilateral are in the ratia

$3 : 5: 9: 13 :$
​

Answer 1

Let angle in the ratio 3 : 5 : 9 : 13 be a,b,c,d

Let a=3x,b=5x,,c=9x,d=13x

We know that

Sum of angle of quadrilateral is 360

a+b+c+d=360 [Angle sum property of quadrilateral]

3x+5x+9x+13x=360

30x=360⁰

x= 360/30

x=12⁰

Hence the angles are

a=3x=3×12⁰ = 36⁰

b=5x=5×12⁰ = 60⁰

c=9x=9×12⁰ = 108⁰

d=13x=13×12⁰ = 156⁰