Question

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

Answer 1

3a+5a+9a+13a=360
a=360/30=12
angles are 36,60,108,156

Answer 2

let one angle be 3x
angle 2 be 5x
angle 3 be 9x
angle 4 be 13x
ATQ
sum of quadrilateral =360
then
angle (1+2+3+4)
3x+5x+9x+13x= 360
30x=360
x=360/30
x=12
so angle 1= 3x =12x3=36
angle 2=5x=12x5=60
angle3= 9x=12x9=108
angle 4=13x=12x13=156