#### Answer

The degree of a graph's vertex means the number of edges which are connected to the vertex. To determine the degree of a vertex, we can simply count the number of edges which are connected to the vertex. Also, we need to remember that a loop contributes 2 to the degree of a vertex.

#### Work Step by Step

We can write a simple explanation for the degree of a graph's vertex as follows: The degree of a graph's vertex means the number of edges which are connected to the vertex. To determine the degree of a vertex, we can simply count the number of edges which are connected to the vertex. Also, we need to remember that a loop contributes 2 to the degree of a vertex.