Answer
The required angle, Angle FDE = 17°
Step-by-step explanation
We are given that DG is perpendicular to DF.
Meaning that the angle between DG and DF is 90°.
So,
Angle GDF = 90°
But we can see from the image attached that
Angle 3 = Angle GDE
Angle 2 = Angle FDE
We can also see that
Angle GDF = (Angle GDE) + (Angle FDE)
But we are given that
Angle 3 = 73°, hence, Angle GDE = 73°
To find the Angle FDE, we can just substitute the known angles to solve
Angle GDF = (Angle GDE) + (Angle FDE)
90° = 73° + Angle FDE
We can rewrite as
73° + Angle FDE = 90°
Subtract 73° from both sides
73° + Angle FDE - 73° = 90° - 73°
Angle FDE = 17°
Hope this Helps!!!