The sum of the angle measures of an octagon is 1,080 degrees.
To understand how to arrive at this number, we can use a simple formula for calculating the sum of the interior angles of any polygon. The formula is:
Sum = (n – 2) × 180
Here, n represents the number of sides in the polygon. For an octagon, which has 8 sides, we can substitute 8 into the formula:
Sum = (8 – 2) × 180 = 6 × 180 = 1,080
Thus, the sum of the interior angles of an octagon is 1,080 degrees.