Answer:
The number of edges is 10
Step-by-step explanation:
we know that
The Euler's formula state that, the number of vertices, minus the number of edges, plus the number of faces, is equal to two
[tex]V - E + F = 2[/tex]
we have
[tex]V=6\\F=6\\E=?[/tex]
substitute the values
[tex]6 - E + 6 = 2[/tex]
solve for E
[tex]- E + 12 = 2[/tex]
[tex]E=12-2\\E=10[/tex]
