Question

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

Answer 1

Let,4 angles of quadrilateral be 3x,5x,9x,13x.

since,Sum of all angles of quadrilateral is 360°

so,
3x+5x+9x+13x=360°

30x=360

x=360÷30

x=12

Now,
angles of quadrilateral are

3x=3×12=36°
5x=5×12=60°
9x=9×12=108°
13x=13×12=156°

Therefore,four angles of quadrilateral are 36°,60°,108°,156°.

Answer 2

let the angles be 3x 5x 9x 13x
3x+5x+9x+13x=360
30x=360
x=360/30
x=12
therefore the angles are 3×12= 36
5×12=60
9×12=108
13×12= 156