#### Answer

The degree of vertex A is 2.
The degree of vertex B is 2.
The degree of vertex C is 3.
The degree of vertex D is 3.
The degree of vertex E is 3.
The degree of vertex F is 1.

#### Work Step by Step

The degree of a vertex is the number of edges connected to that vertex.
Vertex A has 2 edges connected to it, so the degree of vertex A is 2.
Vertex B has 2 edges connected to it, so the degree of vertex B is 2.
Vertex C has 3 edges connected to it, so the degree of vertex C is 3.
Vertex D has 3 edges connected to it, so the degree of vertex D is 3.
Vertex E has 1 edge connecting it to vertex D. Vertex E also has a loop which adds 2 to the degree of the vertex. Therefore, the degree of vertex E is 3.
Vertex F has 1 edge connected to it, so the degree of vertex F is 1.