Polygon Interior Angle Sum Worksheet

Polygon Interior Angle Sum

Read each question carefully and show all your work. Use the formula (n-2) * 180° to find the sum of the interior angles of a polygon with 'n' sides.

1. The sum of the interior angles of a polygon with 'n' sides is given by the formula  .

2. A polygon with 7 sides is called a  .

3. The measure of each interior angle of a regular octagon is   degrees.

4. What is the sum of the interior angles of a dodecagon?

5. If the sum of the interior angles of a polygon is 1080°, how many sides does the polygon have?

6. A convex polygon has interior angles that measure 130°, 140°, 150°, 160°, and 170°. What is the measure of the sixth interior angle?

7. The sum of the interior angles of a regular polygon is 1440°. Find the number of sides of the polygon and the measure of each interior angle.

8. The sum of the exterior angles of any convex polygon is always 360°.

9. A polygon with more sides always has a larger sum of interior angles.

10. The interior angles of a quadrilateral are x, 2x, 3x, and 4x. Find the measure of each angle.