Question

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

Answer 1

Let the common multiple be x

Therefore the ratio= 3x:5x:9x:13x

3x+5x+9x+13x= 360° (Angle sum property of a quadrilateral)

30x= 360°

x= 360°/30

x= 12°

Answer: 3x= 3(12)= 36°

5x= 5(12)= 60°

9x= 9(12)= 108°

13x= 13(12)= 156°

Hope it helps! :)

Answer 2

Firstly let the Angles be X Degree
3x , 5x, 9x and 13x
sum of the Angles of a quadrilater is 360degree
3x + 5x + 9x + 13x = 360
30x = 360
x = 360/ 30
x=12

the Angles are

3x = 3× 12 = 36

5x= 5× 12 = 60

9x = 9× 12 = 108

13x = 13 × 12 =156

I HOPE IT'S HELPFUL