# What is the sum of the measures of the interior angles of an octagon?

**Solution:**

The angles that lie inside a shape (generally a polygon) are said to be interior angles** **and an octagon is defined as a polygon with 8 sides.

The formula to find the sum of the measures of the interior angles of a polygon is (n - 2) × 180^{º} where n is the number of sides.

Sum of the measures of the interior angles of an octagon = (n - 2) × 180^{º}

= (8 - 2) × 180^{º}

= 6 × 180^{º}

= 1080^{º}

Therefore, the sum of the measures of the interior angles of an octagon is 1080º.

## What is the sum of the measures of the interior angles of an octagon?

**Summary:**

The sum of the measures of the interior angles of an octagon is 1080º.

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