The interior angles of a polygon lie inside the polygon. In this topic, you will learn how to solve problems involving the interior angle measures of polygons. You will use your knowledge of the sum of the interior angles of a triangle to determine a rule to find the sum of the interior angles of any polygon. In addition, you will learn to solve numeric and algebraic problems based on the interior angles of polygons.

Essential Question

• How can problems involving interior angle measures of polygons be solved?

 

Warm-Up

You have learned in prior math courses that the sum of the interior angles of a triangle is 180°.  However, what about other polygons? How can you determine the sum of the interior angles of any polygon?  Before you learn how to solve problems involving the interior angle measures of polygons, review what you already know about the relationships that exist between polygons in this non-graded interactivity. Click the player button to get started.