Given:
A figure.
To find:
Whether the pair of angle 1 and angle 2 is adjacent, vertical, or neither.
Solution:
Adjacent angle: If two angles are adjacent to each other, it means they have a common vertex, one common side and they are not overlapping each other, then they are called adjacent angles.
Vertical angles: If two lines intersect each other then the opposite angles are known an vertical angles.
From the given figure it is clear that the angle 1 and angle 2 have a common vertex, one common side and they are not overlapping each other. So, the angle 1 and angle 2 are adjacent angles.
Therefore, the correct option is A.