Question

df and gi are parallel lines. which angles are corresponding angles? ∠feh and ∠dec ∠ghe and ∠deh ∠ihe and ∠ihj ∠feh and ∠ihj

Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each option

• For $\angle FEH$ and $\angle DEC$: They are vertical angles, not corresponding angles.
• For $\angle GHE$ and $\angle DEH$: They are alternate - interior angles, not corresponding angles.
• For $\angle IHE$ and $\angle IHJ$: They are adjacent angles, not corresponding angles.
• For $\angle FEH$ and $\angle IHJ$: Since $GI\parallel DF$ and $CJ$ is a transversal, $\angle FEH$ and $\angle IHJ$ are in the same relative position (both are on the same side of the transversal and above the parallel lines).

Answer:

$\angle FEH$ and $\angle IHJ$