Final answer:
The total degrees in a polygon with n sides can be found using the formula: T = (n - 2) × 180, where T represents the total degrees.
Step-by-step explanation:
The rule for Finding Total Degrees in a Polygon
To find the total degrees in a polygon with n sides, you can use the following rule: subtract 2 from the number of sides (n) and then multiply by 180 degrees.
This is because a polygon can be divided into n - 2 triangles, and each triangle has angles that add up to 180 degrees.
Therefore, the formula for finding the total degrees (T) in a polygon is T = (n - 2) × 180.
For example, a triangle (n = 3) has (3 - 2) × 180 = 1 × 180 = 180 degrees.
A square (n = 4) has (4 - 2) × 180 = 2 × 180 = 360 degrees. This pattern continues for polygons with more sides.