Question

If the ratio of angles in a quadrilateral is 1:2:3:4 then its largest angle is

Answer 1

we know sum of angles of quadrilateral is 360 degree. sum of ratio is 10. now

360*4/10=144 is the largest angle.

Answer 2

let the angle of quadrilateral be 1x 2x 3x 4x

1x+2x+3x+4x =360 ( angle sum property of quadrilateral)

10x = 360

x=360/10

×= 36

angle 1 × 36 = 36

angle 2 × 36 = 72

angle 3 × 36 = 108

angle 4 × 36 = 144 this is the largest angle

HOPE IT HELPS YOU!!