Question

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

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Analyze each option

• For ∠GHE and ∠FEC: They are not corresponding angles.
• For ∠GHE and ∠FEH: They are not corresponding angles.
• For ∠GHE and ∠DEC: They are corresponding angles as they are in the same relative position with respect to the transversal JC and the two lines (assumed parallel) GI and DF.
• For ∠GHE and ∠IHJ: They are vertical - angles, not corresponding angles.

Answer:

∠GHE and ∠DEC