Answer:
a) Degree of E = 2
b) Even vertices: B, C, E
Odd vertices : A, D
c) Vertices A, C, and E are adjacent to D
Step-by-step explanation:
a) The degree of a vertex is given by the number of segments that end there, so in the case of vertex E, there are only two segments that connect it, therefore its degree is 2
b) Following the same idea of degree of a vertex, we can find the number of segments that end on each one of the 5 vertices shown and assign to them their degree:
A (3), B (2), C (4), D (3), E (2)
Therefore the odd vertices are: A and D (both of degree 3)
The even vertices are: B, E (both of degree 2, and C (degree 4)
c) the vertices adjacent to vertex D are those connected directly to it via a segment: that is, vertices A, C, and E