Question

The angles of a quadrilateral r in the ratio 1:2:3:4.find the measure of largest angle

Answer 1

the angles are in the ratio 1:2:3:4

let the angles be x,2x,3x,4x

sum of all angles of a quadrilateral= 360°

x+2x+3x+4x = 360°

10x= 360°

x=36°

largest angle =4x = 4(36)= 144°

so the measure of largest angle is 144°