Question

eg and hj are parallel lines. which angles are alternate exterior angles? ∠gfd and ∠jif ∠gfd and ∠hik ∠gfd and ∠gfi ∠gfd and ∠nik

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent exterior angles that lie on opposite sides of the transversal.

Step2: Analyze each option

• For \(\angle GFD\) and \(\angle JIF\): \(\angle JIF\) is an interior angle. So, they are not alternate exterior angles.
• For \(\angle GFD\) and \(\angle HIK\): \(\angle HIK\) is an interior angle. So, they are not alternate exterior angles.
• For \(\angle GFD\) and \(\angle GFJ\): These two angles are adjacent. So, they are not alternate exterior angles.
• For \(\angle GFD\) and \(\angle NIK\): \(\angle GFD\) and \(\angle NIK\) are non - adjacent exterior angles and lie on opposite sides of the transversal \(DK\).

Answer:

\(\angle GFD\) and \(\angle NIK\)