Question

Which regular polygon would have each of its interior angles measure 120°?



hexagon
heptagon
octagon
nonagon

Answer 1

\( \color{Black}{\Rightarrow \Large{180(n - 2) \over n} = 120 }\)

With this way, you'd determine the number of sides(that is \(n\))

Answer 2

180(n-2)=n 120
n=6

Answer 3

120+360/n=180
360/n=180-120=60
60*n=360
n=360/60=6
hexagon