Polygon Interior Angle Sum Worksheet
Grade 12 Math worksheet on calculating the sum of interior angles of polygons and solving related problems.
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Polygon Interior Angle Sum
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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?
1080 degrees
1260 degrees
1440 degrees
1620 degrees
7. If each interior angle of a regular polygon measures 150 degrees, how many sides does the polygon have?
8
10
12
15
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.