Question

the angle of quadrilateral are in the ratio 2:4:5:9 find all the angles of quadrilateral​

Answer 1

Let x be the common multiple.

2x+4x+5x+7x=360

Sum of angles in a quadrilateral is 3600

18x=360

x=20

∴ 2x=2×20=40,4x=4×20=80,5x=5×20=100,7x=7×20=140

40,80,100,140 are angles  of quadrilateral.