Question

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

Answer 1

sum of quadrilateral is 360

hence

first angle=36

second =60

third=108

fourth=156

Answer 2

The sum of a quadrilateral is 360 degree.

Take 1 angle=3x

2nd angle=5x

3rd angle=9x

and 4th angle=13x

Now sum of 4 sides of a quadrilateral is 360 degree

Hence,

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

=30x=360

therefore x=360/30

x=12

Measure of

1st angle=3*12=36

2nd angle=5*12=60

3rd angle=9*12=108

4th angle =13*12=156