Question

eg and hj are parallel lines. which angles are corresponding angles? ∠efd and ∠hik ∠efd and ∠efi ∠efd and ∠jik ∠efd and ∠hif

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

For parallel lines $\overleftrightarrow{EG}$ and $\overleftrightarrow{HJ}$ with transversal $\overleftrightarrow{KD}$, $\angle EFD$ and $\angle HIK$ are in the same relative position. $\angle EFD$ and $\angle EFI$ are adjacent angles. $\angle EFD$ and $\angle JIK$ are not in corresponding - angle positions. $\angle EFD$ and $\angle HIF$ are not in corresponding - angle positions.

Answer:

$\angle EFD$ and $\angle HIK$