Question

which angles are corresponding angles?
∠gfi and ∠hik ∠gfi and ∠jif
∠gfi and ∠jik ∠gfi and ∠gfd

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each pair

• For \(\angle GFI\) and \(\angle HIK\):
• \(\angle GFI\) is at the intersection of \(DG\) and \(EG\), \(\angle HIK\) is at the intersection of \(DK\) and \(HJ\). They are in the same relative position (upper - right at their respective intersections).
• For \(\angle GFI\) and \(\angle JIF\): They are vertical angles, not corresponding angles.
• For \(\angle GFI\) and \(\angle JIK\): They do not have the same relative position.
• For \(\angle GFI\) and \(\angle GFD\): They are adjacent angles, not corresponding angles.

Answer:

\(\angle GFI\) and \(\angle HIK\)