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Each angle of a regular 9-sided polygon is 140°. Can regular 9-gons tile a floor on their own?

Class 7Tiling PatternsGeometry
  • AYes; 2 fit around a point
  • BYes; 3 fit around a point
  • CNo; it has an odd number of sides
  • DNo; 360 is not a multiple of 140

Step-by-Step Solution

° = 280° (gap of 80°) and ° = 420° (overlap). So they cannot fill the space around a point. (Having an odd number of sides is not the reason: triangles tile.)
Answer: D) No; 360 is not a multiple of 140

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