Question

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

Answer 1

Sum Of Quaderilateral = 360°
3x+5x+9x+13x=360°
8x+22x=360°
30x=360°
x=360/30
x=12

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

Answer 2

Given:

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

To Find:

Find all the angles of the quadrilateral.

Solution:

A quadrilateral is a 2-dimensional closed figure with 4 sides thus making 4 angles. The sum of all the angles of a quadrilateral is equal to 360 degrees.

It is given that the angles of a quadrilateral are in the ratio of 3:5:9:13

So we can write the sum of angles equation as, using the property of quadrilateral that this sum will be equal to 360 degrees.

[tex]3x+5x+9x+13x=360\\ 30x=360\\ x=12[/tex]

So the angles of the quadrilateral will be,

3x=3*12

   =36

5x=5*12

   =60

9x=9*12

   =108

13x=13*12

     =156

Hence, the measure of the angles of the quadrilateral is 36, 60, 108, 156 degrees.