Final answer:
The n in the formula 180(n-2) stands for the number of sides of the polygon, which is used to calculate the sum of the interior angles of a polygon.
Step-by-step explanation:
In the formula 180(n-2), which is used to calculate the sum of the interior angles of a polygon, n represents the number of sides of the polygon. This formula tells us that if you multiply 180 degrees by the number of sides of the polygon minus two, you will get the sum of all the angles inside that polygon. For instance, a triangle has 3 sides, so according to the formula, the sum of its interior angles would be 180(3-2), which equals 180 degrees.
To help you remember, when you think of a triangle, you should visualize a three-sided figure lying on a plane where the sum of the angles is always 180 degrees. This consistent characteristic of triangles is a special case of the general rule for polygons, which can have numerous sides. Essentially, the formula adjusts to figure out the total degrees for any flat, straight-edged shape, no matter how many sides it has