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gj and jl are parallel lines. which angles are corresponding angles? ∠g…

Question

gj and jl are parallel lines. which angles are corresponding angles? ∠ghf and ∠ihf ∠ghf and ∠jkh ∠ghf and ∠lkm ∠ghf and ∠ghk

Explanation:

Step1: Recall corresponding angles definition

Corresponding angles are angles that are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

  • $\angle GHF$ and $\angle IHF$: These are adjacent angles, not corresponding.
  • $\angle GHF$ and $\angle JKH$: $\angle GHF$ and $\angle JKH$ are in the same relative position (both above the parallel lines $JL$ and $GI$ and on the same side of the transversal $MF$).
  • $\angle GHF$ and $\angle LKM$: Their positions are not corresponding.
  • $\angle GHF$ and $\angle GHK$: These are adjacent angles, not corresponding.

Answer:

$\angle GHF$ and $\angle JKH$