Find the number of sides of a regular polygon if one interior angle is 120 degrees.
+14966 Find the number of sides of a regular polygon if one interior angle is 120 degrees.
\({\color{red}2\alpha} = 180°- \frac{360°}{\color{blue}n}\)
\({\color{red}120°} = 180°- \frac{360°}{\color{blue}n}\)
\(\frac{360°}{{\color{blue}n}}= 180°-{\color{red}120°}\)
\({\color{blue}n= \frac{360°}{60°}}\)
\({\color{blue}n=6}\) 
!
The polygon has 6 sides.
