Question

Determine whether each pair of angles is a pair of vertical angles, a linear pair of angles, or neither. Select the correct answer for each lettered part.

Answer 1

Linear Pair, Neither, Vertical.

Its also in the attached PNG just in case the question you have decides to put them out of order. You are all welcome! I hope this helps you people in the future

Answer 2

A) ∠AFC and ∠CFD are neither. They share more than a vertex, so they are not vertical angles. Also, they do not form a straight line so they do not make a linear pair.
B) ∠AFB and ∠CFD are neither. Vertical angles are also known as vertically opposite angles. While these two only share a vertex, they are not opposite each other. They also do not form a linear pair, as they do not form a straight line.
C) ∠BFD and ∠AFE are vertical angles. They are opposite each other and share only a vertex.