Question

which angles are corresponding angles? ∠feh and ∠fec ∠fec and ∠ihe ∠fec and ∠ghe ∠deh and ∠fec

Explanation:

Step1: Recall corresponding - angles definition

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

Step2: Analyze each option

• $\angle FEH$ and $\angle FEC$ are adjacent angles that form a linear - pair, not corresponding angles.
• $\angle FEC$ and $\angle IHE$: $\angle FEC$ and $\angle IHE$ are corresponding angles. They are in the same relative position with respect to the transversal $CJ$ and the parallel lines $DF$ and $GI$.
• $\angle FEC$ and $\angle GHE$ are not corresponding angles.
• $\angle DEH$ and $\angle FEC$ are vertical angles, not corresponding angles.

Answer:

$\angle FEC$ and $\angle IHE$