Answer:
see below
Explanation:
Angles are named with the vertex listed in the middle of the three letters. For example, ∠AFB is formed by rays FA and FB. Point F is the vertex of the angle, where the rays meet.
Adjacent angles share a ray. Generally the shared ray will be the only ray between the other two rays identifying the angles. For example, ∠AFB and ∠BFC (or ∠CFB) are considered to be adjacent because shared ray FB is between rays FA and FC.
Given the names of two angles, you can look to see if any of the rays are shared.
Looking at the next answer choice, ∠AFB and ∠CFD we see that the rays involved in the first angle are FA and FB; in the second angle they are FC and FD. There are no common rays here, so these angles are not adjacent.
∠BFC and ∠CFD share ray FC. They are adjacent.
∠BFC and ∠DFE have no shared rays.
∠CFD and ∠DFE share ray FD. They are adjacent.