Question

using euler's formula find the vertex of a polygon whose faces ia 5 and edges is 9?​

Answer 1

Given:

The polygon has 5 faces.

The polygon has 9 edges.

To find:

We need to find the vertex using the Euler's formula.

Solution:

Here, the Euler's formula is      

F + V = E + 2

Where,

F = No. of faces = 5

E = No. of edges = 9

V = No. of vertex = ?

Now, we will substitute and find the answer.

Here,

F + V = E + 2

5 +V = 9 + 2

5 + V = 11

V = 11 - 5

V = 6.

∴Numbers of vertices = 6.

Using Euler's formula we have found the vertex is 6.