Question

The angles of a quadrilateral is in the ratio 1:2:3:4. then find each angle of a quadrilateral​

Answer 1

x+2x+3x+4x=360

10x=360

x=36

2x=72

3x=108

4x=144

Answer 2

Answer:

given ratio=1:2:3:4

let the four angles of the quadrilateral be x, 2x, 3x, 4x

then,

x + 2x + 3x + 4x=360 ( sum of four angles of a quadrilateral is always equal to 360)

0r, 10x= 360

0r, x=360/10

∴x=36

therefore the four angles are 36, 2×36, 3×36, 4×36

                                                  = 36, 72, 108, 144