Question

Kevin claims that the smallest angle of rotation through the center of a regular 15-gon that carries it onto itself is 156° since 180(15−2)15=156. Decide if Kevin is correct. If Kevin is correct, enter 156 below. If Kevin is incorrect, enter the correct value of the smallest angle of rotation through the center of a regular 15-gon that carries it onto itself.

Answer 1

Explanation:

The formula for calculating the interior angle of a polygon is expressed as;

sum of internal angle = (n-2)180 where;

n is the number of sides of the polygon in consideration.

Given a 15 sided polygon, n = 15

sum of internal angle = (15-2)180

sum of internal angle = (13)180

sum of internal angle = 2340

Hence kevin is wrong, the correct answer is 2340