What formula is used to calculate the sum of interior angles of a polygon?

The sum of the interior angles of a polygon can be calculated using the formula (n - 2) x 180 degrees, where "n" represents the number of sides in the polygon. This formula stems from the fact that any polygon can be divided into triangles, and since each triangle has a sum of angles equal to 180 degrees, the total number of triangles formed by drawing non-crossing diagonals from one vertex of the polygon is (n - 2). Therefore, multiplying the number of triangles by the sum of the angles in a triangle gives the total sum of the interior angles of the polygon.

For example, a triangle (which has 3 sides) would give a sum of angles equal to (3 - 2) x 180 = 1 x 180 = 180 degrees, while a quadrilateral (4 sides) yields (4 - 2) x 180 = 2 x 180 = 360 degrees. This pattern continues for polygons with more sides, confirming the formula's validity.

Other options, while they seem plausible at first glance, do not appropriately reflect the relationship between the number of sides and the sum of the interior angles in polygons. Therefore, the choice of (n - 2