Question

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

Explanation:

Step1: Recall corresponding - angles definition

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

Step2: Analyze each option

• $\angle DEH$ and $\angle DEC$ are adjacent angles, not corresponding.
• $\angle DEH$ and $\angle GHJ$: When $\overleftrightarrow{DF}$ and $\overleftrightarrow{GI}$ are parallel lines and $\overleftrightarrow{JC}$ is a transversal, $\angle DEH$ and $\angle GHJ$ are in the same relative position. They are corresponding angles.
• $\angle DEH$ and $\angle IHJ$ are not in the same relative - position with respect to the parallel lines and the transversal.
• $\angle DEH$ and $\angle FEH$ are adjacent angles, not corresponding.

Answer:

$\angle DEH$ and $\angle GHJ$