Answer: The correct option is (C) BFD.
Step-by-step explanation: We are given to find the adjacent angle to angle DFE in the figure.
ADJACENT ANGLES: The two angles that have a common vertex and a common side are called adjacent angles.
Option (A) is Angle AFB:
We can see that angles DFE and AFB have a common vertex F but they do not have a common side. So, the angles are not adjacent.
This option is not correct.
Option (B) is Angle AFC:
We can see that angles DFE and AFC have a common vertex F but they do not have a common side. So, the angles are not adjacent.
This option is not correct.
Option (C) is Angle BFD:
We can see that angles DFE and BFD have a common vertex F and a common side FD. So, the angles are adjacent.
This option is CORRECT.
Option (D) is Angle BFC:
We can see that angles DFE and BFC have a common vertex F but they do not have a common side. So, the angles are not adjacent.
This option is not correct.
Thus, the correct option is (C) BFD.