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Missing exterior angle of a polygon

Year 9 maths · Fieldbook Learning

Name ______________________ Date __________

The exterior angles of any polygon add to 360°. Subtract the ones you know.

  1. A polygon has 4 exterior angles. 3 of them measure 20°, 123° and 115°. What is the other exterior angle, in degrees?
  2. A polygon has 4 exterior angles. 3 of them measure 144°, 20° and 116°. What is the other exterior angle, in degrees?
  3. A polygon has 4 exterior angles. 3 of them measure 115°, 78° and 26°. What is the other exterior angle, in degrees?
  4. A polygon has 4 exterior angles. 3 of them measure 94°, 89° and 62°. What is the other exterior angle, in degrees?
  5. A polygon has 5 exterior angles. 4 of them measure 54°, 107°, 78° and 40°. What is the other exterior angle, in degrees?
  6. A polygon has 5 exterior angles. 4 of them measure 117°, 145°, 20° and 43°. What is the other exterior angle, in degrees?
  7. A polygon has 5 exterior angles. 4 of them measure 36°, 44°, 24° and 98°. What is the other exterior angle, in degrees?
  8. A polygon has 5 exterior angles. 4 of them measure 36°, 144°, 24° and 125°. What is the other exterior angle, in degrees?
  9. A polygon has 6 exterior angles. 5 of them measure 25°, 130°, 144°, 19° and 26°. What is the other exterior angle, in degrees?
  10. A polygon has 6 exterior angles. 5 of them measure 55°, 53°, 44°, 49° and 87°. What is the other exterior angle, in degrees?
  11. A polygon has 6 exterior angles. 5 of them measure 76°, 25°, 43°, 128° and 52°. What is the other exterior angle, in degrees?
  12. A polygon has 6 exterior angles. 5 of them measure 92°, 75°, 84°, 35° and 15°. What is the other exterior angle, in degrees?
  13. A polygon has 7 exterior angles. 6 of them measure 135°, 127°, 32°, 16°, 20° and 15°. What is the other exterior angle, in degrees?
  14. A polygon has 7 exterior angles. 6 of them measure 122°, 102°, 57°, 29°, 19° and 15°. What is the other exterior angle, in degrees?
  15. A polygon has 7 exterior angles. 6 of them measure 105°, 17°, 56°, 110°, 21° and 17°. What is the other exterior angle, in degrees?
  16. A polygon has 7 exterior angles. 6 of them measure 51°, 19°, 74°, 99°, 43° and 29°. What is the other exterior angle, in degrees?
  17. A polygon has 8 exterior angles. 7 of them measure 27°, 15°, 86°, 58°, 19°, 58° and 75°. What is the other exterior angle, in degrees?
  18. A polygon has 8 exterior angles. 7 of them measure 130°, 68°, 31°, 66°, 15°, 17° and 17°. What is the other exterior angle, in degrees?
  19. A polygon has 8 exterior angles. 7 of them measure 107°, 15°, 133°, 15°, 43°, 16° and 16°. What is the other exterior angle, in degrees?
  20. A polygon has 8 exterior angles. 7 of them measure 44°, 61°, 108°, 39°, 34°, 27° and 22°. What is the other exterior angle, in degrees?
More free practice: fieldbooklearning.com/uk/practice/year-9/missing-exterior-angle-of-a-polygon/

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Answer key: Missing exterior angle of a polygon

  1. 102
  2. 80
  3. 141
  4. 115
  5. 81
  6. 35
  7. 158
  8. 31
  9. 16
  10. 72
  11. 36
  12. 59
  13. 15
  14. 16
  15. 34
  16. 45
  17. 22
  18. 16
  19. 15
  20. 25