A. These angles are not adjacent because they do not share a common line, ray, or segment. They only have point V in common. Note how V is the only letter to show up in the sequences NVP and UVF.
B. These segments are adjacent. We can tell by visually noticing that NVT and TVU share the ray VT. Without the drawing, we can tell they are adjacent because NVT and TVU both have "VT" in them (the order of V and T doesn't matter). See the diagram below.
C. These angles are not adjacent for similar reasoning as choice A above.
D. Same story as choice C and choice A. These angles are not adjacent.
E. Since B is true, this rules out choice E.
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Final Answer: Choice B
NVT and TVU are adjacent angles.
