# What is the sum of the angle measures of an octagon?

We will use the concept of polygon interior angle sum theorem to find the sum of the angle measures of an octagon.

## Answer: The sum of the angle measures of the octagon is 1080 degrees.

Let's see how we will use the concept of polygons interior angle sum theorem to find the sum of the angle measures of the polygon.

**Explanation:**

The sum of the measures of the interior angles of a convex polygon with n sides is = (n - 2 ) × 180 degrees

Number of sides in an octagon = 8

Therefore, substituting 8 in the formula we get = (8 - 2) × 180 degrees = 1080 degrees

### Hence, the sum of the angle measures of the octagon is 1080 degrees.