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Find the angles of a regular polygon

Year 11 maths · Fieldbook Learning

Name ______________________ Date __________

Exterior angles add to 360°, and each interior angle is 180° minus its exterior angle.

  1. What is each interior angle of a regular polygon with 18 sides?
  2. What is each interior angle of a regular polygon with 24 sides?
  3. Each exterior angle of a regular polygon is 36°. How many sides does it have?
  4. What is each exterior angle of a regular polygon with 8 sides?
  5. Each exterior angle of a regular polygon is 18°. How many sides does it have?
  6. Each exterior angle of a regular polygon is 30°. How many sides does it have?
  7. What is each exterior angle of a regular polygon with 9 sides?
  8. Each exterior angle of a regular polygon is 9°. How many sides does it have?
  9. What is each exterior angle of a regular polygon with 20 sides?
  10. What is each interior angle of a regular polygon with 3 sides?
  11. What is each exterior angle of a regular polygon with 18 sides?
  12. What is each exterior angle of a regular polygon with 36 sides?
  13. What is each interior angle of a regular polygon with 5 sides?
  14. Each exterior angle of a regular polygon is 8°. How many sides does it have?
  15. Each exterior angle of a regular polygon is 20°. How many sides does it have?
  16. What is each interior angle of a regular polygon with 90 sides?
  17. Each exterior angle of a regular polygon is 12°. How many sides does it have?
  18. What is each exterior angle of a regular polygon with 4 sides?
  19. What is each interior angle of a regular polygon with 10 sides?
  20. What is each interior angle of a regular polygon with 36 sides?
More free practice: fieldbooklearning.com/uk/practice/year-11/angles-of-regular-polygons/

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Answer key: Find the angles of a regular polygon

  1. 160
  2. 165
  3. 10
  4. 45
  5. 20
  6. 12
  7. 40
  8. 40
  9. 18
  10. 60
  11. 20
  12. 10
  13. 108
  14. 45
  15. 18
  16. 176
  17. 30
  18. 90
  19. 144
  20. 170