Question

The angle of quadrilateral are in the ratio 3 : 5 : 9 : 15 . Find all the angles of the quadrilateral.......​

Answer 1

Let the four angles of the quadrilateral be 3x, 5x, 9x and 13x

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

[sum of all angles of the quadrilateral is 360 ]

30x=360

x=12

Hence, the angles of the quadrilateral are 3×12

=36

,5×12

=60

,9×12

=08

and13×12

=156

Answer 2

let the four angles be 3x,5x,9x and 15x.

ANGLE SUM PROPERTY OF A QUADRILATERAL IS 360°.

. • . 3x+5x+9x+15x=360°

30 x = 360°

x = 360/30

x = 12°

now put the value of x in 3x,5x,9x and 15x.

3x=36°

5x=60°

9x=108°

15x=156°

angles of quadrilaterals are as follows.