Question

The angles of a quadrilateral are in the ratio 5 : 4 : 8 : 13. Find the angles of

the quadrilateral​

Answer 1

let's take 5:4:8:13 as X's

5x+4x+8x+13x = 360

30x= 360°

x= 360/30

therefore, x=12

now substituting the values of x

5x= 5×12 =60

4x=4×12= 48

8x=8×12=96

13x=13×12=156

therefore, 60+48+96+156= 360

thus, angle 1 = 60

angle 2 = 48

angle 3 = 96

and angel 4 = 156......