Question

the angles of a quadrilateral are in the ratio 3:5:9:13, then find the measure of the smallest angels​

Answer 1

Let the angles be= 3x,5x,9x,13x

We know that the sum of angles of a quadrilateral= 360 degrees

The equation would be: =3x+5x+9x+13x=360.
=30x=360
=x=360/30
=x=12 degrees

Hence, the measure of the smallest angle would be 3x. i.e. 3*12=36 degrees.