Answer:
The number of vertices are [tex]17[/tex]
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
so
[tex]V - E + F = 2[/tex]
substitute the values and solve for V
[tex]V - 38 +23 = 2[/tex]
[tex]V - 15 = 2[/tex]
[tex]V = 2+15[/tex]
[tex]V = 17[/tex]
