Question

Four angles of a quadrilateral are in the ratio of 3:5:7:9.Find the angles.

Answer 1

Let the angles be 3x, 5x, 7x, 9x
According to angle sum property
3x + 5x + 7x + 9x = 360
24x = 360
x = 15
So angles are 45, 75, 105, 135

Answer 2

let ,3:5:7:9= 3x 5x,7x,9x

so, 3x + 5x+ 7x+ 9x =360⁰

=) 24x = 360⁰

=) x= 360/24

=) x= 15⁰

so, 3x= 3×15= 45 ⁰

5x=5×15= 75 ⁰

7x= 7×15 = 105 ⁰

9x= 9×15= 135 ⁰

HOPE IT'S HELPFUL