Question

which angles are corresponding angles?
∠jik and ∠jif ∠hif and ∠jik
∠hif and ∠hik ∠gfd and ∠jif

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• For $\angle JIK$ and $\angle JIF$: They are adjacent angles, not corresponding.
• For $\angle HIF$ and $\angle JIK$: They are vertical angles, not corresponding.
• For $\angle HIF$ and $\angle HIK$: They are adjacent angles, not corresponding.
• For $\angle GFD$ and $\angle JIF$: They are in the same relative position (both are on the same side of the transversal $KD$ and above the parallel lines $HJ$ and $EG$), so they are corresponding angles.

Answer:

$\angle GFD$ and $\angle JIF$