Question

if each of the interior angle of regular polygon is 120 degrees then find the number of sides

Answer 1

if each interior angle is 120 then each exterior angle will 60. As we know that sum of exterior angle of polygon =360, side =360/60=6 .the number of sides=6.

Answer 2

Answer:

6

Step-by-step explanation:

Given : Each of the interior angle of regular polygon is 120 degrees

To Find : find the number of sides

Solution:

Formulas of interior angle : $\frac{180(n-2)}{n}$

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

$120n=180n-360$

$360=60n$

$\frac{360}{60}=n$

$6=n$

Hence the number of the sides of the regular polygon is 6.