Question

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

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are two non - adjacent exterior angles on opposite sides of a transversal that intersects two parallel lines.

Step2: Analyze each option

For parallel lines \(EG\) and \(HJ\) with transversal \(DK\):

• \(\angle JIK\) and \(\angle EFD\): \(\angle JIK\) and \(\angle EFD\) are non - adjacent exterior angles on opposite sides of the transversal \(DK\).
• \(\angle JIK\) and \(\angle EFI\): \(\angle EFI\) is an interior angle, so this pair is incorrect.
• \(\angle JIK\) and \(\angle HIF\): \(\angle HIF\) is an interior angle, so this pair is incorrect.
• \(\angle JIK\) and \(\angle HIK\): \(\angle HIK\) and \(\angle JIK\) are adjacent, so this pair is incorrect.

Answer:

\(\angle JIK\) and \(\angle EFD\)