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Interior angle of a regular polygon

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

In a regular polygon all angles are equal. Divide the total by the number of sides.

  1. Find the measure of one interior angle of a regular 20-sided polygon, in degrees.
  2. A regular polygon has 15 sides. How many degrees is each interior angle?
  3. Find the measure of one interior angle of a regular 5-sided polygon, in degrees.
  4. What is the measure of each interior angle of a regular polygon with 24 sides, in degrees?
  5. A regular polygon has 30 sides. How many degrees is each interior angle?
  6. What is the measure of each interior angle of a regular polygon with 12 sides, in degrees?
  7. A regular polygon has 36 sides. How many degrees is each interior angle?
  8. What is the measure of each interior angle of a regular polygon with 30 sides, in degrees?
  9. A regular polygon has 20 sides. How many degrees is each interior angle?
  10. A regular polygon has 8 sides. How many degrees is each interior angle?
  11. Find the measure of one interior angle of a regular 120-sided polygon, in degrees.
  12. Find the measure of one interior angle of a regular 18-sided polygon, in degrees.
  13. What is the measure of each interior angle of a regular polygon with 6 sides, in degrees?
  14. Find the measure of one interior angle of a regular 3-sided polygon, in degrees.
  15. Find the measure of one interior angle of a regular 4-sided polygon, in degrees.
  16. What is the measure of each interior angle of a regular polygon with 3 sides, in degrees?
  17. What is the measure of each interior angle of a regular polygon with 60 sides, in degrees?
  18. A regular polygon has 120 sides. How many degrees is each interior angle?
  19. What is the measure of each interior angle of a regular polygon with 9 sides, in degrees?
  20. What is the measure of each interior angle of a regular polygon with 5 sides, in degrees?
More free practice: fieldbooklearning.com/uk/practice/year-9/interior-angle-of-a-regular-polygon/

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Answer key: Interior angle of a regular polygon

  1. 162
  2. 156
  3. 108
  4. 165
  5. 168
  6. 150
  7. 170
  8. 168
  9. 162
  10. 135
  11. 177
  12. 160
  13. 120
  14. 60
  15. 90
  16. 60
  17. 174
  18. 177
  19. 140
  20. 108