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) × 180°.
Let's look at some examples.
Let 'n' be the number of sides of a regular polygon.
The sum of interior angles of a polygon = (n - 2) × 180°.
The sum of interior angles of triangle = (3 - 2) × 180° [since a triangle is a 3 sided polygon, hence, n = 3]
The sum of the interior angles of the square = (4 - 2) × 180° [since a square is a quadrilateral, hence, n = 4]
The sum of the interior angles for the polygon with n = 10 will be,
= (10 - 2) × 180°