Question

The angle of a quadrilateral are in the ratio 3:5:9:13 find all the angles of the quadrilateral.​

Answer 1

Let the unknown number be 3x,5x,9x,13x.

A/C:-

☞3x+5x+9x+13x=360°

=>30x=360°

=>x=360/30

=>x=12

Angles are:-

3x=36°;

5x=12×5=60°;

9x=9×12=108°;

13x=13×12=156°

The angles are 36°,60°,108°,156°

Answer 2

Answer:

We can find the measure of andles by using angle sum property of quadrilateral.

Step-by-step explanation:

Let ABCD be a quadrilateral

<A+<B+<C+<D=360degrees

Let the measure of angle be x

So, <A =3x

<B=5x

<C=9x

<D=13x

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

30x=360 degrees

x=360/30

x=12degrees

Therefore <A=3x=3*12=36degrees

                  <B=5x=5*12=60degrees

                    <C=9x=9*12=108degrees

                     <D=13x=13*12=256degrees

Hope this helps