I think you are intended to pick A as your answer. But D is a thorn. The question especially D is not worded accurately.
Step-by-step explanation:
Remark
I take it that you are asked what the relationship between a and b is. What you can say is that a and b are a linear pair if a and be have 1 leg on a ray. I will treat it that way, but you should always question whether that is true or not.
Solution
Adjacent Math meaning: Each angle has a common side and a common point where they meet. A and B are adjacent: True.
Linear Pair. True A and B are adjacent angles and they are also supplementary. So C and E are both true.
