Question

if the difference between the interior and exterior angles of a regular polygon is 120 degree then find the number of sides in the polygon​

Answer 1

According to question we can conclude that:

Interior angle of polygon-exterior angle=120°

$\frac{180(n - 2)}{n} - \frac{360}{n} = 120$

$\frac{180n - 360 - 360}{n} = 120$

$180n - 720 = 120n$

$= > 180n - 120n = 720$

$= > 60n = 720$

$= > n = 12$