Question

which angles are corresponding angles? ∠efd and ∠gfi ∠jik and ∠efi ∠jik and ∠hik ∠efi and ∠hik

Explanation:

Step1: Recall definition of corresponding angles

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

Step2: Analyze each option

• $\angle EFD$ and $\angle GFI$ are vertical angles.
• $\angle JIK$ and $\angle EFI$ have no special angle - relationship.
• $\angle JIK$ and $\angle HIK$ are adjacent angles.
• $\angle EFI$ and $\angle HIK$ are corresponding angles as they are in the same relative position at the intersections of the transversal with the two lines.

Answer:

$\angle EFI$ and $\angle HIK$