Polygon Interior Angle Sum Worksheet

Polygon Interior Angle Sum

Read each question carefully and provide the best answer. Show all your work for full credit.

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

2. A polygon with 7 sides is called a  .

3. The measure of each interior angle of a regular 'n'-sided polygon is found by dividing the sum of interior angles by  .

4. Calculate the sum of the interior angles of a dodecagon.

5. A regular polygon has an interior angle sum of 1800 degrees. How many sides does it have?

6. Which of the following is the sum of the interior angles of a nonagon?

7. If each interior angle of a regular polygon measures 150 degrees, how many sides does the polygon have?

8. The interior angles of a quadrilateral are (x + 20)°, (2x - 10)°, (x + 50)°, and (3x - 60)°. Find the value of x and the measure of each angle.

9. Prove that the sum of the exterior angles of any convex polygon is 360 degrees.