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20 questions and an answer page, sized for A4.

Angle sums of polygons

Year 7 · Shapes & Geometry · 20 questions

Name
Date
  1. 1.
    What is each exterior angle of a regular pentagon, in degrees?
  2. 2.
    What is the sum of the interior angles of a decagon, in degrees?
  3. 3.
    What is the sum of the interior angles of a octagon, in degrees?
  4. 4.
    What is the sum of the interior angles of a triangle, in degrees?
  5. 5.
    What is each interior angle of a regular dodecagon, in degrees?
  6. 6.
    What is the sum of the interior angles of a quadrilateral, in degrees?
  7. 7.
    Three angles of a quadrilateral are 73°, 97° and 85°. What is the fourth angle, in degrees?
  8. 8.
    Three angles of a quadrilateral are 105°, 120° and 41°. What is the fourth angle, in degrees?
  9. 9.
    What is each exterior angle of a regular octagon, in degrees?
  10. 10.
    What is each interior angle of a regular decagon, in degrees?
  11. 11.
    Three angles of a quadrilateral are 111°, 71° and 86°. What is the fourth angle, in degrees?
  12. 12.
    What is each interior angle of a regular nonagon, in degrees?
  13. 13.
    Three angles of a quadrilateral are 72°, 65° and 42°. What is the fourth angle, in degrees?
  14. 14.
    What is the sum of the interior angles of a hexagon, in degrees?
  15. 15.
    What is the sum of the interior angles of a dodecagon, in degrees?
  16. 16.
    Three angles of a quadrilateral are 109°, 129° and 43°. What is the fourth angle, in degrees?
  17. 17.
    What is each exterior angle of a regular quadrilateral, in degrees?
  18. 18.
    What is each exterior angle of a regular decagon, in degrees?
  19. 19.
    What is each interior angle of a regular pentagon, in degrees?
  20. 20.
    Three angles of a quadrilateral are 59°, 101° and 58°. What is the fourth angle, in degrees?

Free maths worksheets and practice: rocketdigits.com/learn/angle-sums-of-polygons

Answers: Angle sums of polygons

  1. 72
  2. 1440
  3. 1080
  4. 180
  5. 150
  6. 360
  7. 105
  8. 94
  9. 45
  10. 144
  11. 92
  12. 140
  13. 181
  14. 720
  15. 1800
  16. 79
  17. 90
  18. 36
  19. 108
  20. 142

Free maths worksheets and practice: rocketdigits.com/learn/angle-sums-of-polygons

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