Question

The angles of quadrilateral are in the ratio 3:5:9:13.Find all the angles of quadrilateral.

Answer 1

Answer:

Let the all angles of quadrilateral be x

So,

We know that the sum of all the angles of quadrilateral is 360,

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

30x = 360

x = 12

So here,

3x = 3*12 = 36

5x = 5*12 = 60

9x = 9*12 = 108

13x = 13* 12 = 156

Hence angles of quadrilaterals are 36,60,108 and 156.

Answer 2

Answer:

Let the angels of the quadrilateral are 3x, 5x, 9x,13x

The sum of the angles of a quadrilateral is 360°

3x+5x+9x+13x=360°

30x=360°

x=12°

The angles of the quadrilateral are

3x=3×12=36°

5x=5×12=60°

9x=9×12=108°

13x=13×12=156°