Question

The angels of quadrillateral are in the ratio 3:5:9:13.find allthe anglesof the quadrilateral.

Answer 1

the ratios are 3x , 5x , 9x , and 13x.
sum of ratios = 30x

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

3x = 3*12 = 36
5x = 5*12 = 60
9x = 9*12 = 108
13x = 13*12 = 156

Answer 2

Let the angles be 3x,5x,9x,13x
Sum of all the angles of a quadrilateral=360°
3x+5x+9x+13x=360°
30x=360°
x=360°/30=12°
Therefore,the angles are 3(12°)=36°,5(12°)=60°,9(12°)=108°,13(12°)=156°