What represents 'n' in the formula for the sum of interior angles?

In the formula for the sum of interior angles of a polygon, 'n' specifically represents the number of sides in the polygon. The formula to calculate the sum of the interior angles is ( (n-2) \times 180^\circ ), where each part of the expression has a specific purpose.

Here, 'n' refers to the total number of sides the polygon has, which directly correlates to the number of angles since each side is associated with one angle. For instance, a triangle has 3 sides and thus 3 angles, leading to a sum of interior angles equal to ( (3-2) \times 180^\circ = 180^\circ ). Similarly, a quadrilateral has 4 sides, resulting in ( (4-2) \times 180^\circ = 360^\circ ).

Understanding this relationship within the context of polygons is crucial, as it aligns with how we define and calculate properties of geometric shapes.