SOLUTION: Explain why a regular pentagon cannot tessellate a plane

Question 35913: Explain why a regular pentagon cannot tessellate a plane
Found 2 solutions by fractalier, cleomenius:
Answer by fractalier(6550) (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) (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.
RELATED QUESTIONS
explain why we cannot have a regular polygon with an exterior angle equal to 50... (answered by richwmiller)
1. Which uppercase letters of the alphabet have rotational symmetry? This is what I came... (answered by Alan3354)
how much does a regular pentagon cost (answered by Alan3354)
explain why a^2 + b^2 cannot be a... (answered by Mathtut,solver91311)
Explain why a linear inequality cannot be a... (answered by josgarithmetic)
a regular pentagon ABCDE is inscribe in a circle, centre O. calculate angle ABD. well... (answered by greenestamps)
Explain why a^2+b^2 cannot be... (answered by solver91311)
Explain why a right equilateral triangle cannot... (answered by tinbar)
why a regular convex polygon cannot have an exterior angle of 25 degrees? why a regular... (answered by Alan3354)