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 1080º

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

Explanation:

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

= (8 - 2) × 180º 

= 6 × 180º

= 1080º

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