Create a free account now and get 3 full lessons, completely free. Get my 3 free lessons

Australia
Practise online insteadThe answer key prints on page 2.

Number of sides of a regular polygon from its angle

Year 8 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/au/practice/year-8/number-of-sides-of-a-regular-polygon-from-its-angle/

Play it as a quiz game

20 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

  1. Download the game's own question template: in Kahoot, Add question → Import spreadsheet; in Blooket, Create a set → Spreadsheet import.
  2. Click the matching button below, then click the first empty question row of the template and paste.
  3. Save the template (Kahoot needs .xlsx, Blooket .csv) and upload it.
Download CSV

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