To find the sum of the interior angles of an octagon, we can use a simple formula based on the number of sides of the polygon. The formula for calculating the sum of the interior angles of any polygon is:
Sum of interior angles = (n – 2) × 180°
Here, n represents the number of sides. For an octagon, n is 8.
Now, plug in the value:
Sum of interior angles = (8 – 2) × 180° = 6 × 180° = 1080°
Thus, the sum of the angles of an octagon is 1080 degrees. This calculation illustrates that as the number of sides increases, the sum of the angles also increases significantly.