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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

    What is the sum of the interior angles of a decagon (10 sides)?

    Answer

  2. Question 2

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

    Answer

  3. Question 3

    A 8-sided polygon has angles 135°, 136°, 133°, 137°, 137°, 135°, 137° and x°. Find x.

    Answer

  4. Question 4

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

    Answer

  5. Question 5

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

    Answer

  6. Question 6

    A 5-sided polygon has angles 109°, 104°, 107°, 114° and x°. Find x.

    Answer

  7. Question 7

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

    Answer

  8. Question 8

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

    Answer

  9. Question 9

    A 6-sided polygon has angles 122°, 115°, 119°, 119°, 126° and x°. Find x.

    Answer

  10. Question 10

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

    Answer

  11. Question 11

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

    Answer

  12. Question 12

    A 8-sided polygon has angles 133°, 132°, 139°, 141°, 137°, 138°, 139° and x°. Find x.

    Answer

  13. Question 13

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

    Answer

  14. Question 14

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

    Answer

  15. Question 15

    A 6-sided polygon has angles 114°, 115°, 117°, 123°, 115° and x°. Find x.

    Answer

  16. Question 16

    What is the sum of the interior angles of a dodecagon (12 sides)?

    Answer

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Answer key: Interior angles of polygons

  1. 1. 1440

  2. 2. 150

  3. 3. 130

  4. 4. 1260

  5. 5. 120

  6. 6. 106

  7. 7. 1260

  8. 8. 135

  9. 9. 119

  10. 10. 540

  11. 11. 144

  12. 12. 121

  13. 13. 1260

  14. 14. 120

  15. 15. 136

  16. 16. 1800