Q:

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.

Accepted Solution

A:
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.