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A brain teaser

 In the land of Zig-Zag, there are only two types of people: truth tellers who always tell the truth and zig zags who if questioned either tell the truth or lie. The zig zags never lie or tell the truth twice in a row when questioned.
 
We can infer which of the following:
 
A) In the land of Zig-Zag, if a person is asked if they are a truth teller and they answer affirmatively, then the next answer he or she gives to a question must be true.
 
B) In the land of Zig-Zag, if you ask whether their neighbor is a truth teller and the person answers in the negative, then the answer the neighbor gives to the next question is most likely true.
 
C) Both A and B
 
D) Neither A nor B