Question

Example 1. The angles of a quadrilateral are
in the ratio 3:5:9:13. Find all the angles the
quadrilateral
(CBSE 2012, 2016)​

Answer 1

Answer:

sum of all angle of quardilateral

=360

let the ratio be 3x,5x,9x,13x

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

30x=360

x=360/30

x=12

therefore angles are:-

3x=3×12=36

5x=5×12=60

9x=9×12=108

13x=13×12=156

HOPE THIS HELPS!@swarajtodekar

Answer 2

Answer:

Let the angles be 3x,5x,9x and 13x

We know,

Sum of interior angles in a quadrilateral=360°

According to qiestion,

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

30x=360

x=12

So, the required angles are 36,60,108,156.