Question

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

Answer 1

take the sides as 3x,5x,9x,13x
we know the total sum of all four angle is 360(angle sum)
then 3x+5x+9x+13x=360
30x=360
x=360/30=36/3=12
so first angle 3x=3*12=36
second angle 5x=5*12=60
third angle 9x=9*12=108
and fourth angle=13x=13*12=156

Answer 2

Let the angles be 3x, 5x , 9x , and 13 x.
Angle sum of a quad. = 360°
i.e 3x+ 5x + 9x + 13 x= 360°
30 x = 360°
x = 360÷30 = 12
 therefore the angles are -
3 x = 3× 12 = 36°
5 x = 5 ×12 = 60°
9 x = 9×12= 108°
13 x = 13×12 = 156°