Question

eg and hj are parallel lines. which angles are alternate interior angles? ∠jif and ∠efi ∠jif and ∠efd ∠jif and ∠hik ∠jif and ∠gfd

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are a pair of non - adjacent interior angles that lie on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle JIF\) and \(\angle EFI\):
• They are non - adjacent interior angles and lie on opposite sides of the transversal \(DK\).
• For \(\angle JIF\) and \(\angle EFD\):
• \(\angle EFD\) is an exterior angle, not an interior angle for the region between \(EG\) and \(HJ\).
• For \(\angle JIF\) and \(\angle HIK\):
• These are vertical angles, not alternate interior angles.
• For \(\angle JIF\) and \(\angle GFD\):
• \(\angle GFD\) is an exterior angle, not an interior angle for the region between \(EG\) and \(HJ\).

Answer:

\(\angle JIF\) and \(\angle EFI\)