# Find the sum of the interior angle measures of the polygon.

A polygon is a closed two-dimensional figure, that comprises three or more straight lines.

## Answer: The formula for calculating the sum of interior angles of a polygon is (n -2 ) × 180º

Let's look into some examples

**Explanation:**

Let 'n' be the number of sides of a regular polygon

The sum of interior angles of a polygon = (n -2 ) × 180º

For example,

The sum of interior angles of triangle = (3 - 2) × 180º [Since, triangle is a 3 sided polygon hence, n = 3]

= 180º

The sum of the interior angles of the square = (4 - 2) × 180º [Since, square is a quadrilateral hence, n = 4]

= 360º

The sum of the interior angles for the polygon with n = 10 will be

= (10 - 2) × 180º

= 1440º