Which of these represents the formula for the individual interior angles of a polygon?

The formula for the individual interior angles of a polygon is derived from the total sum of the interior angles, which is calculated using the formula 180(n-2), where n is the number of sides of the polygon. To find the measure of each individual angle in a regular polygon (where all angles are equal), we divide the total sum by the number of angles, which is equal to the number of sides (n).

Thus, the calculation would look like this:

1. Total interior angles = 180(n - 2).

2. Each individual angle = Total interior angles / n = [180(n - 2)] / n.

When we simplify this, we get 180 - (360/n), which is equivalent to 180(n - 2)/n. Therefore, this formula accurately gives the measure of each interior angle for a regular polygon and explains why this option is the correct answer.

The other options do not correctly represent the individual interior angles of a polygon. For example, one of them calculates the exterior angle by dividing the total degrees in a circle (360) by the number of sides, while another merely divides 180 by the number of sides, which does not relate directly to the interior angles of a polygon.