Question

eg and hj are parallel lines. which angles are corresponding angles? ∠hik and ∠gfi ∠jif and ∠hif ∠efd and ∠gfi ∠jif and ∠gfd

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. They are on the same - side of the transversal and on the same - side of the parallel lines.

Step2: Analyze each option

• For $\angle HIK$ and $\angle GFI$: They are not in the same relative position.
• For $\angle JIF$ and $\angle HIF$: These are adjacent angles, not corresponding angles.
• For $\angle EFD$ and $\angle GFI$: $\angle EFD$ and $\angle GFI$ are vertical angles, not corresponding angles.
• For $\angle JIF$ and $\angle GFD$: $\overrightarrow{EG}\parallel\overrightarrow{HJ}$, and the transversal intersects them. $\angle JIF$ and $\angle GFD$ are in the same relative position with respect to the parallel lines $\overrightarrow{EG}$ and $\overrightarrow{HJ}$ and the transversal. They are corresponding angles.

Answer:

$\angle JIF$ and $\angle GFD$