The sum of the measures of the interior angles of an octagon is 1,080 degrees.
This can be determined using the formula for the sum of the interior angles of a polygon, which is given by:
Sum = (n – 2) × 180
Here, n represents the number of sides in the polygon. Since an octagon has 8 sides, we can substitute:
- n = 8
Plugging this into the formula, we get:
Sum = (8 – 2) × 180 = 6 × 180 = 1,080
Thus, the sum of the interior angles of an octagon is 1,080 degrees. This is important in geometry and helps us understand the properties of octagons better.