Answer:
The number of faces is 29
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]
In this problem we have
[tex]V=16[/tex]
[tex]E=43[/tex]
Substitute in the formula and solve for F
[tex]16- 43 + F = 2[/tex]
[tex]-27 + F = 2[/tex]
[tex] F = 2+27[/tex]
[tex] F = 29[/tex]
