Question

The sum of the measures of the interior angles of a polygon with n sides is __.

Answer 1

Answer: The sum of the measures of the interior angles of a polygon is always 180(n-2) degrees, where n represents the number of sides of the polygon. The sum of the measures of the exterior angles of a polygon is always 360

Answer 2

B) (n-2)180°

Explanation:

For any polygon, we can draw 2 fewer triangles than the given number of sides.

The sum of the measures of the angles of any triangle is 180°. Since there are (n-2) triangles in every polygon, this means the sum of the measures of the angles of any polygon with n sides is

(n-2)180.