Answer:
Part a) List of even vertices: K,L,M,O
List of odd vertices: J,N
Part b) Adjacent to K : J and L
Part c) Degree of L = 4
Explanation:
To find the degree of a vertex, simply count the number of segments that end up in that particular vertex. You may even draw a little circle around each vertex to visualize the segments that go through it to reach the vertex.
If the number of segments is an odd number, the vertex is odd.
If the number of segments is even, the vertex is even.
See below the list of degrees of the vertices in your example and their degrees:
J (3)
K (2)
L (4)
M (2)
N (3)
O (2)
The last question now is also answered since the degree of (number of segments ending in) vertex L is 4.