Final answer:
The sum of the interior angles of a 25-gon is calculated using the formula (n - 2) × 180°, which equals 4140° for a polygon with 25 sides.
Step-by-step explanation:
To find the sum of the interior angles of a 25-gon, or any polygon, we use the formula (n - 2) × 180°, where n represents the number of sides in the polygon. Since we have a 25-gon, n equals 25.
Plugging the value into our formula we get:
(25 - 2) × 180°
= 23 × 180°
= 4140°.
Therefore, the sum of the interior angles of a 25-gon is 4140°.