Question

In a regular polygon of n sides , the measure of each internal angle is ________.
if n = 6 then find the measure of each internal angle

Answer 1

If a regular polygon of n sides, the measure of each internal angle is $\frac{(n-2)(180)}{n}$

Substitute n to 6 in above formula.
$\frac{(6-2)(180)}{6}= \frac{(4)(180)}{6}= \frac{720}{6}= 120$
ANSWERS:
(the formula above) and 120

Answer 2

Answer:

The sum of the angles of a polygon with n number of sides is: 180(n−2) 180 ( n − 2 ) . So an interior angle of a regular n-gon is given by 180(n−2)n 180 ( n − 2 ) n .