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Euler formula is a formula created by the famous mathematician, Leonhard Euler which establishes the relationship between the trigonometric functions and the complex exponential function. According to the rule, the vertices +faces - edges = 2 

V + 25 - 37 = 2

V then is equal to 14

Answer:

Number of vertices = 14

Step-by-step explanation:

Let e be the number of edges, f be the number of faces and v be the number of  vertices.

As per the statement:  

Number of edges(e) = 37

Number of faces(f) = 25

We have to find number of vertices.

Using Euler's formula:

[tex]v-e+f = 2[/tex]

Substitute the values we have;

[tex]v-37+25 = 2[/tex]

⇒[tex]v-12 = 2[/tex]

Add 12 to both sides we have;

v = 14

Therefore, the number of vertices = 14

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