SOLUTION: Explain why a regular pentagon cannot tessellate a plane

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Question 35913: Explain why a regular pentagon cannot tessellate a plane
Found 2 solutions by fractalier, cleomenius:
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Each interior angle of a regular pentagon is 108 degrees. If you put three of them together, vertex to vertex, you get 324 degree. The extra 36 degrees is left over and cannot be accounted for by another pentagon.

Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
The angles around each vertex must total 360 degrees to "fit" without overlaps or extra spacing.
Cleomenius.