Answer:
30 Edges.
Step-by-step explanation:
Euler's formula tells us that [tex]V-E+F=2[/tex] (Vertices - edges + faces = 2).
Plug the numbers in:
[tex]19-E+13=2[/tex]
Solve:
[tex]32-E=2[/tex]
[tex]32=2+E[/tex]
[tex]30=E[/tex]
Therefore, there are 30 edges.