Question

eg and hj are parallel lines. which angles are alternate exterior angles? ∠efd and ∠jik ∠efd and ∠hif ∠efd and ∠efi ∠efd and ∠gfd

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each pair

• For $\angle EFD$ and $\angle JIK$:
• $\overleftrightarrow{EG}\parallel\overleftrightarrow{HJ}$, and $\overleftrightarrow{DK}$ is the transversal.
• $\angle EFD$ and $\angle JIK$ are non - adjacent, lie outside $\overleftrightarrow{EG}$ and $\overleftrightarrow{HJ}$, and on opposite sides of $\overleftrightarrow{DK}$.
• For $\angle EFD$ and $\angle HIF$:
• $\angle HIF$ is not an exterior angle with respect to the parallel lines $\overleftrightarrow{EG}$ and $\overleftrightarrow{HJ}$.
• For $\angle EFD$ and $\angle EFI$:
• $\angle EFI$ is not an exterior angle with respect to the parallel lines $\overleftrightarrow{EG}$ and $\overleftrightarrow{HJ}$.
• For $\angle EFD$ and $\angle GFD$:
• They are adjacent angles (form a linear pair), not alternate exterior angles.

Answer:

$\angle EFD$ and $\angle JIK$