Consider the interior and exterior angles of a regular 60-gon.

Answer 1

interior angles of an equilateral triangle = 60 degrees = 180/3= (180 (3-2)/3

interior angles of a square = 90 = 360/4 = (180(4-2))/4

n sided polygon has interior angles = 180(n-2)/n

interior angles of a regular polygon with 60 sides = 180(58)/60 =3(58) = 174 degrees

as n approaches infinity, the interior angle approaches 180

exterior angle = 360/n = 360/60 = 6 degrees for a 60 sided regular polygon