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Why can regular pentagons NOT tile a floor by themselves?

Class 7Tiling PatternsGeometry
  • AA pentagon has an odd number of sides
  • BAll their sides are equal
  • C108° does not divide 360° exactly
  • DPentagons are too big

Step-by-Step Solution

3 pentagons make 324° (a gap) and 4 make 432° (an overlap). Since 360 ÷ 108 is not a whole number, they cannot fill the space around a point.
Answer: C) 108° does not divide 360° exactly

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