a polygon is a 2d shape with all straight edges. show via induction that the sum of the interior angles of a polygon with n sides is (n −2) ×180◦. don’t include unneeded base cases. hint 1: it is helpful to know that a triangle’s interior angles always sum to 180◦. you may assume this is true for the problem. hint 2: in order to apply your inductive hypothesis to a polygon, you’ll need to think of it in terms of a smaller polygon. how can you make a smaller polygon out of a big one?