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which angles are corresponding angles? ∠fec and ∠ihj ∠ihj and ∠feh ∠feh…

Question

which angles are corresponding angles?
∠fec and ∠ihj ∠ihj and ∠feh
∠feh and ∠dec ∠dec and ∠ghj

Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each option

  • For $\angle FEC$ and $\angle IHJ$: Their positions are not in the same relative place at the intersections.
  • For $\angle IHJ$ and $\angle FEH$: Their positions are not in the same relative place at the intersections.
  • For $\angle FEH$ and $\angle DEC$: These are vertical angles, not corresponding angles.
  • For $\angle DEC$ and $\angle GHJ$: They are in the same relative position at the intersections of the transversal with the two lines.

Answer:

$\angle DEC$ and $\angle GHJ$