Question

the interior angles of a hexagon are in the ratio of 1:3:5:7:9:11.
find the largest angle

Answer 1

by taking common multiple x
we get
angles of hexagon are of measures
x,3x,5x,7x,9,x,11,x
sum of angles of hexagon is 720
x+3x+5x+7x+9x+11x=720
36x=720
x=20
angles of hexagon are
20°,60°,100°,140°,18°,220°

Answer 2

the sum of interior angles of hexagon is =720
let the angle be 1x,3x,5x,7x,9x,11x
1x+3x+5x+7x+9x+11x=720
36x=720
x=720/36
x=20
1x=1 x 20
20
3x=3 x 20
60
5x=5 x 20
100
7x=7 x 20
140
9x=9 x 20
180
11x=11 x 20
220(IT IS THE LARGEST ANGLE)