Final answer:
The sum of the interior angles of a 14-sided polygon (tetradecagon) is 2160 degrees. This is calculated using the formula (n - 2) * 180 and it is consistent with the polygon being divisible into 12 triangles.
Step-by-step explanation:
The sum of the interior angles of any polygon can be calculated using the formula: (n - 2) * 180, where 'n' is the number of sides of the polygon. In the case of a 14-sided polygon, often called a tetradecagon, the calculation is: (14 - 2) * 180 = 12 * 180 = 2160 degrees.
The question mentioned something about the number of triangles being 12. This is consistent with how we derived our formula for the interior angle sum. When a polygon is split into triangles, the number of triangles will always be 2 less than the number of sides of the polygon. Hence, a 14-sided polygon can indeed be split into 12 triangles.
Therefore, the sum of the interior angles of a 14-sided polygon is 2160 degrees.
Learn more about Interior Angles of a Polygon