Question

the angles of quadrilateral are in the ratio3:5:9:13. find all the angles of the quadrilateral.​

Answer 1

let the angle measure of quadrilateral be x

since ts angle are in ratio 3:5:9:13

so its angles thus formed is 3x,5x,9x,13x.

we know that sum of angles of quadrilateral is 360°

so we say,

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

30x=360

x=360/30

x=12°

so angles are

first angle:- 3x=3×12=36°

second angle:- 5x=5×12=60°

third angle;-9x=9×12=108°

fourth angle:-13x=13×12=156°