Question

the angles of qaudrilateral are in the ratio of 3:5:9:13 find all the angles of the quadrilateral

Answer 1

36 degree, 60 degree, 108 degree, 156 degree

sum of all angles of quadrilateral = 360 degree

let x be the common factor.

Answer 2

Answer:

Here is your answer

According to the question

The given ratio is : $3:5:9:13$

⇒In a quadrilateral there will be 360°

⇒So over keep X as the undefined value means the x is the value that we had to find

Now multiply x into all ratio to find  The value of x

⇒$3*x+5*x+9*x+13*x=360$°

Now adding the values

⇒$30x=360$°

So now you should divide

⇒$x=360/30$

⇒$x=12$°

Hence we found the value of x is 12°

Now multiply with ratio's that is

⇒$3x=3(12)=36$°

⇒$5x=5(12)=60$°

⇒$9x=9(12)=108$°

⇒$13x=13(12)=156$°

So the ratio can be written as:

36°+60°+108°+156°=360°

Hence we found the value of the ratio:

3x=36°

5x=60°

9x=108°

13x=156°