Question

In a Quadrilateral ABCD the angles A,B,C,D are in the ratio 1:2:3:4 . Find all angles​

Answer 1

Step-by-step explanation:

1. let be x is the angle.
2. so the angles of quadilateral is x, 2x,3x 4x.
3. x+3x+4x+2x=360(sum of angles of quadilateral is 360)
4. 12x=360, x=30
5. x=30,2x=60,3x=90,4x=120

Answer 2

Step-by-step explanation:

let the angles of quadrilateral be = 1x,2x,3x,4x respectively

Sides of quadrilateral = 1x+2x+3x+4x = 360

= 10x = 360

= x = 360÷10

= x = 36

1x = 36

2x = 36×2 = 72

3x = 36×3 = 108

4x = 36×4 = 144

Check result :

36+72+108+144 = 360

360 = 360

Hence , proved