#### Answer

The degree of vertex A is 5.
The degree of vertex B is 4.
The degree of vertex C is 5.
The degree of vertex D is 4.
The degree of vertex E is 2.

#### Work Step by Step

The degree of a vertex is the number of edges connected to that vertex.
Vertex A has 3 edges connected to it. Vertex A also has a loop which adds 2 to the degree of the vertex. Therefore, the degree of vertex A is 5.
Vertex B has 4 edges connected to it, so the degree of vertex B is 4.
Vertex C has 5 edges connected to it, so the degree of vertex C is 5.
Vertex D has 4 edges connected to it, so the degree of vertex D is 4.
Vertex E has 2 edges connected to it, so the degree of vertex E is 2.