Final answer:
The answer is AJD.
Step-by-step explanation:
In the given figure, AD, DF, and GI are parallel. We need to complete the proportion:
JF/FE = ?/DE
Since AD and DF are parallel lines, we can apply the property of parallel lines. This property states that if a transversal intersects two parallel lines, then the corresponding angles formed are congruent.
Therefore, angle JFA is congruent to angle AED. We can use this information to complete the proportion.
Since angle JFA is congruent to angle AED, we can say that:
JF/FE = AJ/DE
So, the answer is (a) AJD.