To determine if the two indicated angles \( e \) and \( f \) are adjacent, we need to consider the definitions of adjacent angles.
Adjacent angles are defined as two angles that:
- Share a common vertex (the point where the two rays meet).
- Share a common ray (one ray of each angle is the same).
- Do not overlap.
Based on your description, since \( e \) and \( f \) both emerge from the same point (the vertex) and do not overlap but share a common ray (the ray from the vertex that forms part of angle \( e \) and angle \( f \)), it implies that they are indeed adjacent angles.
So the correct response is:
Yes, they share a common vertex.