Worksheet Chapter 4: Polygon

1. Calculate the sum of the interior angles of an 11-sided polygon.

2. True or False: A regular heptagon (7 sides) has 7 lines of symmetry.

3. True or False: An interior angle and an exterior angle at the same vertex of a polygon sum up to 360°.

4. Fill in the blank: The sum of the exterior angles of any polygon is always equal to ________ degrees.

5. Which of the following is the measure of each interior angle of a regular nonagon (9 sides)?

6. Each exterior angle of a regular polygon is 24°. Find the number of sides of this polygon.

7. The ratio of an interior angle to an exterior angle of a regular polygon is 7 : 2. Determine the number of sides of the polygon.

8. Diagram shows a regular hexagon ABCDEF and a square APQF drawn externally on side AB. (a) Find the measure of interior angle ∠FAB of the hexagon. (b) Calculate the angle ∠PAF. (c) Calculate the value of the reflex angle ∠QAF.

9. A regular polygon has an interior angle that is 135° larger than its exterior angle. (a) Calculate the measure of its exterior angle. (b) Determine the number of sides and name the polygon.

10. The interior angles of a pentagon are x°, (x + 10)°, (2x - 20)°, 110°, and 120°. Find the value of x.