SOLUTION: Every face has 5 edges and every edge is shared by two faces. Every face has five vertices and every vertex is shared by three faces. The sum of the number of vertices and faces is

Question 1069744: Every face has 5 edges and every edge is shared by two faces. Every face has five vertices and every vertex is shared by three faces. The sum of the number of vertices and faces is two more than the number of edges.
The explanation in my book makes no sense. The answer is in my book but could anyone explain this problem to me and show me steps?
Found 2 solutions by ikleyn, Alan3354:
Answer by ikleyn(52816) (Show Source): You can put this solution on YOUR website!
.
Regular dodecahedron.

See this Wikipedia article
https://en.wikipedia.org/wiki/Regular_dodecahedron

https://en.wikipedia.org/wiki/Regular_dodecahedron

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
It's a dodecahedron.
Not necessarily regular.
Look it up online.
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