Question

the angles of a quadrilateral are in the ratio 1:2:3:4.if the sum of the angles of a quadrilateral is 360°,find the measure of each angle.​

Answer 1

Answer:

angles=36,72,108,144

Step-by-step explanation:

let angles = 1x,2x,3x,4x

then (1+2+3+4)x=360

10x=360

x=36

Answer 2

Step-by-step explanation:

Ratio of angles of quadrilateral= 1:2:3:4

Total Sum of the angles of a quadrilateral=360

        1x+2x+3x+4x= 360

                         10x=360

                             x=360/10

                             x=36

Sum of 1st Angle= 1x=36

Sum of 2nd Angle=2x=2(36)= 72

Sum of 3rd Angle= 3x= 3(36)= 108

Sum of 4th Angle= 4x= 4(36)= 144