Question

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

Answer 1

Answer:

let angles be 3x ,5x,9x,13x

by angles sum property of triangle:-

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

30x= 360

x=30/360=

x=12

3x= 3×12=36

5x=5×12=60

9x=9×12=108

13x=13×12=156

Answer 2

Answer:

36° , 60° , 108° , 156°

Step-by-step explanation:

Given---> Angles of a quadrilateral are in the ratio

3 : 5 : 9 : 13 .

To find ---> All the angles of quadrilateral .

Solution---> Let quadrilateral be ABCD and

ATQ, ∠ A : ∠B : ∠C : ∠D = 3 : 5 : 9 : 13

Let ∠A = 3x , ∠B = 5x , ∠C = 9x , ∠D = 13x

We know that sum of angles of quadrilateral are 360° , so applying this

∠ A + ∠ B + ∠C + ∠D = 360°

=> 3x + 5x + 9x + 13x = 360°

=> 30 x = 360°

=> x = 360° / 30

=> x = 12

So, ∠A = 3x = 3 ( 12 ) = 36°

∠B = 5x = 5 ( 12 ) = 60°

∠C = 9x = 9 ( 12 ) = 108°

∠D = 13x = 13 ( 12 ) = 156°