To find the angles of a polygon with n sides, which operation must be performed on n?

To determine the sum of the interior angles of a polygon with n sides, the correct procedure involves subtracting 2 from n. This is based on the formula for the sum of the interior angles of a polygon, which is given by the expression (180(n - 2)).

Here’s the rationale: a polygon can be divided into triangles, and each triangle has an angle sum of 180 degrees. If you take a polygon with n sides, you can visualize it being divided into n - 2 triangles. The subtraction of 2 is due to the fact that each triangle effectively removes one side from the polygon boundary as you create connections from non-adjacent vertices. Thus, the resulting number of triangles, which contributes to the angle sum calculation, is n - 2.

Once you have the formula (180(n - 2)), you can see how crucial the subtraction of 2 is in determining the sum of the angles. This is why the operation of subtracting 2 from n is essential in calculating the angles of a polygon. The other operations do not reflect the relationship correctly for finding angle sums as defined by polygon geometry.