Question

The angles of a pentagon are in the ratio 1:2:3:5:9 . which is the smallest angle ?

Answer 1

let the angles of the pentagon be = x
so the angles will be
1x,2x,3x,5x,9x
as we know that angle of pentagon is 540°
so by the sum,
1x+2x+3x+5x+9x = 540°
20x=540°
x=27
now substitute the value x
1x=27
2x=54
3x=81
5x=135
9x=243

Answer 2

let the angles of the pentagon be = x
so the angles will be
1x,2x,3x,5x,9x
as we know that angle of pentagon is 540°
so by the sum,
1x+2x+3x+5x+9x = 540°
20x=540°
x=27
now substitute the value x
1x=27
2x=54
3x=81
5x=135
9x=243