Question

The angles of quadrilateral are in the ratio 2:3:4:6. find the measure of each of the four angles.

Answer 1

2x +3x+4x+6x = 360 degree...............1
sum of the angle of a quadilateral is 360 degree
from adding 1 
15 x =360
x=360/15
x= 24
2x= 2*24=48 1st angle
3x=3*24=72 2nd angle
4x=4*24=96 3rd angle
6x=6*24=144 4th angle

Answer 2

let the angles be,

2x,3x,4x,6x

we know that the sum of all the angles of a quadrilateral is 360 degree

⇒2x+3x+4x+6x=360

⇒15x=360

⇒x=360 ÷ 15

⇒x=24

therefore the angles are-

2x⇒2*24=48 degree

3x⇒3*24=72 degree

4x⇒4*24=96 degree

6x⇒6*24=144 degree