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Interior angles of polygons

8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.5 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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  1. Question 1

    A 7-sided polygon has angles 135°, 124°, 125°, 129°, 124°, 124° and x°. Find x.

    Answer

  2. Question 2

    What is each interior angle of a regular decagon? Round to 1 decimal place if needed.

    Answer

  3. Question 3

    What is the sum of the interior angles of a pentagon (5 sides)?

    Answer

  4. Question 4

    A 8-sided polygon has angles 139°, 130°, 133°, 133°, 135°, 139°, 129° and x°. Find x.

    Answer

  5. Question 5

    What is each interior angle of a regular octagon? Round to 1 decimal place if needed.

    Answer

  6. Question 6

    What is the sum of the interior angles of a nonagon (9 sides)?

    Answer

  7. Question 7

    A 7-sided polygon has angles 125°, 133°, 130°, 133°, 126°, 133° and x°. Find x.

    Answer

  8. Question 8

    What is each interior angle of a regular decagon? Round to 1 decimal place if needed.

    Answer

  9. Question 9

    What is the sum of the interior angles of a nonagon (9 sides)?

    Answer

  10. Question 10

    A 6-sided polygon has angles 117°, 121°, 118°, 114°, 121° and x°. Find x.

    Answer

  11. Question 11

    What is each interior angle of a regular octagon? Round to 1 decimal place if needed.

    Answer

  12. Question 12

    What is the sum of the interior angles of a octagon (8 sides)?

    Answer

  13. Question 13

    A 5-sided polygon has angles 104°, 106°, 106°, 111° and x°. Find x.

    Answer

  14. Question 14

    What is each interior angle of a regular dodecagon? Round to 1 decimal place if needed.

    Answer

  15. Question 15

    What is the sum of the interior angles of a pentagon (5 sides)?

    Answer

  16. Question 16

    A 8-sided polygon has angles 132°, 133°, 132°, 135°, 129°, 137°, 141° and x°. Find x.

    Answer

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  1. 139
  2. 144
  3. 540
  4. 142
  5. 135
  6. 1260
  7. 120
  8. 144
  9. 1260
  10. 129
  11. 135
  12. 1080
  13. 113
  14. 150
  15. 540
  16. 141