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Sum of the interior angles of a polygon

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

The interior angles of a polygon with n sides add to (n − 2) × 180°.

  1. Find the total of the interior angles of a 35-sided polygon, in degrees.
  2. Find the total of the interior angles of a 7-sided polygon, in degrees.
  3. Find the total of the interior angles of a 5-sided polygon, in degrees.
  4. What is the sum of the interior angles of a polygon with 37 sides, in degrees?
  5. A polygon has 56 sides. What is the sum of its interior angles, in degrees?
  6. What is the sum of the interior angles of a polygon with 48 sides, in degrees?
  7. What is the sum of the interior angles of a polygon with 44 sides, in degrees?
  8. A polygon has 29 sides. What is the sum of its interior angles, in degrees?
  9. What is the sum of the interior angles of a polygon with 62 sides, in degrees?
  10. What is the sum of the interior angles of a polygon with 36 sides, in degrees?
  11. A polygon has 50 sides. What is the sum of its interior angles, in degrees?
  12. Find the total of the interior angles of a 40-sided polygon, in degrees.
  13. Find the total of the interior angles of a 74-sided polygon, in degrees.
  14. What is the sum of the interior angles of a polygon with 63 sides, in degrees?
  15. What is the sum of the interior angles of a polygon with 84 sides, in degrees?
  16. A polygon has 61 sides. What is the sum of its interior angles, in degrees?
  17. What is the sum of the interior angles of a polygon with 104 sides, in degrees?
  18. A polygon has 13 sides. What is the sum of its interior angles, in degrees?
  19. What is the sum of the interior angles of a polygon with 16 sides, in degrees?
  20. What is the sum of the interior angles of a polygon with 99 sides, in degrees?
More free practice: fieldbooklearning.com/uk/practice/year-9/sum-of-the-interior-angles-of-a-polygon/

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Answer key: Sum of the interior angles of a polygon

  1. 5940
  2. 900
  3. 540
  4. 6300
  5. 9720
  6. 8280
  7. 7560
  8. 4860
  9. 10800
  10. 6120
  11. 8640
  12. 6840
  13. 12960
  14. 10980
  15. 14760
  16. 10620
  17. 18360
  18. 1980
  19. 2520
  20. 17460