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eg and hj are parallel lines. which angles are alternate exterior angle…

Question

eg and hj are parallel lines. which angles are alternate exterior angles? ∠gfd and ∠jik ∠gfd and ∠gfi ∠gfd and ∠efi ∠gfd 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 ∠GFD and ∠JIK: ∠GFD and ∠JIK are non - adjacent exterior angles on opposite sides of the transversal KI that intersects the parallel lines EG and HJ.
  • ∠GFD and ∠GFI are adjacent angles, not alternate - exterior angles.
  • ∠GFD and ∠EFI are a linear pair, not alternate - exterior angles.
  • ∠GFD and ∠HIK are not in the correct relative position for alternate - exterior angles.

Answer:

∠GFD and ∠JIK