In a quadrilateral `A B C D ,` the angles `A ,\ B ,\ C\ a n d\ D` are in the ratio `1:2:3:4` . Find the measure of each angle of the quadrilateral.

Explanation

Let the angle A `=1x`
angle B`=2x`
angle C`=3x`
angle D `=4x`
we know that the sum of the angles of a quadrilateral is `360^0`
angle `A+B+C+D=360^@`
`x+2x+3x+4x=360^@`
`10x=360^@`
`x=36^@`
Angle A `=x=36^@`
Angle B`=2xxx=72^@`
Angle C`=3xxx=108^@`
Angle D`=4xxx=144^@`