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Number of sides of a regular polygon from its angle

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

Find the exterior angle first (180° minus the interior angle), then divide 360° by it.

  1. The interior angles of a regular polygon each measure 171°. How many sides does the polygon have?
  2. Each interior angle of a regular polygon is 171°. How many sides does it have?
  3. A regular polygon has interior angles of 174°. How many sides has it?
  4. A regular polygon has interior angles of 60°. How many sides has it?
  5. The interior angles of a regular polygon each measure 156°. How many sides does the polygon have?
  6. A regular polygon has interior angles of 144°. How many sides has it?
  7. Each interior angle of a regular polygon is 120°. How many sides does it have?
  8. The interior angles of a regular polygon each measure 150°. How many sides does the polygon have?
  9. The interior angles of a regular polygon each measure 162°. How many sides does the polygon have?
  10. Each interior angle of a regular polygon is 156°. How many sides does it have?
  11. The interior angles of a regular polygon each measure 160°. How many sides does the polygon have?
  12. The interior angles of a regular polygon each measure 135°. How many sides does the polygon have?
  13. A regular polygon has interior angles of 120°. How many sides has it?
  14. The interior angles of a regular polygon each measure 165°. How many sides does the polygon have?
  15. Each interior angle of a regular polygon is 108°. How many sides does it have?
  16. Each interior angle of a regular polygon is 170°. How many sides does it have?
  17. A regular polygon has interior angles of 90°. How many sides has it?
  18. A regular polygon has interior angles of 172°. How many sides has it?
  19. A regular polygon has interior angles of 135°. How many sides has it?
  20. The interior angles of a regular polygon each measure 178°. How many sides does the polygon have?
More free practice: fieldbooklearning.com/uk/practice/year-9/number-of-sides-of-a-regular-polygon-from-its-angle/

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Answer key: Number of sides of a regular polygon from its angle

  1. 40
  2. 40
  3. 60
  4. 3
  5. 15
  6. 10
  7. 6
  8. 12
  9. 20
  10. 15
  11. 18
  12. 8
  13. 6
  14. 24
  15. 5
  16. 36
  17. 4
  18. 45
  19. 8
  20. 180