# What Is the Sum of the Measures of the Interior Angles of an Octagon?

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

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.

## Answer: The sum of the measures of the interior angles of an octagon is 1080^{º}

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

## Explanation:

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, sum of the measures of the interior angles of an octagon is 1080^{º}.

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