Question

The angles of a quadrilateral are in the
3:5:9:13 . Find all the angles, of a
quadrilateral
​

Answer 1

Answer:

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

According to question

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

30x=360

x=360/30

x=12

1st angle=3x

=3(12)

=36°

2nd angle=5x

=5(12)

=60°

3rd angle=9x

=9(12)

=108°

4th angle=13x

=13(12)

=156°

Answer 2

Step-by-step explanation:

let the ratio constants be x - 3x,5x,9x,13x.

3x + 5x + 9x + 13x = 360°

or,30x = 360°

or,x = 12°

then,

the angels are = 3x = 3 × 12 = 36°

= 5x= 5× 12 = 60°

= 9x = 9×12°=108°

= 13x= 13 × 12= 156°.