It is known that the sum of the four angles is 360∘. So,
2x+3x+4x+6x=360∘
15x=360∘
x=24∘
Therefore, the measure of each angle is,
2x=2(24)=48∘
3x=3(24)=72∘
4x=4(24)=96∘
6x=6(24)=144∘
Find the measures of the four angles of a quadrilateral if they are in the ratio 3:5:7:9