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QUESTION IMAGE

select all the pairs of corresponding angles.

Question

select all the pairs of corresponding angles.

Explanation:

Step1: Recall corresponding - angles definition

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

Step2: Analyze each pair

  • For ∠EFH and ∠DCF: They are corresponding angles as they are in the same relative position with respect to the transversal and the two parallel - like lines.
  • For ∠DCA and ∠GFH: They are corresponding angles.
  • For ∠BCA and ∠DCA: These are adjacent angles, not corresponding angles.
  • For ∠DCF and ∠GFH: They are corresponding angles.

Answer:

∠EFH and ∠DCF, ∠DCA and ∠GFH, ∠DCF and ∠GFH