What connection exists between the number of sides of a polygon and the sum of its interior angles?

The relationship between the number of sides of a polygon and the sum of its interior angles is a fundamental concept in geometry. The correct answer reveals that as a polygon has more sides, the total measure of its interior angles increases.

For any polygon, the formula to calculate the sum of the interior angles is given by (n - 2) × 180 degrees, where n represents the number of sides. This means that each additional side added to the polygon introduces an additional 180 degrees to the total sum of the interior angles. Therefore, polygons with more sides will indeed have a greater sum of interior angles compared to those with fewer sides.

Understanding this connection is crucial when dealing with various types of polygons, as it helps in solving problems related to angle measures and determining properties related to polygonal shapes.