Question

select all the pairs of corresponding angles.
∠ihj and ∠dec
∠ihe and ∠deh
∠feh and ∠ihe
∠deh and ∠ghj

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 $\angle IHJ$ and $\angle DEC$, they are in the same relative position with respect to the transversal and the two lines, so they are corresponding angles.
• For $\angle IHE$ and $\angle DEH$, they are in the same relative position with respect to the transversal and the two lines, so they are corresponding angles.
• For $\angle FEH$ and $\angle IHE$, they are in the same relative position with respect to the transversal and the two lines, so they are corresponding angles.
• For $\angle DEH$ and $\angle GHJ$, they are in the same relative position with respect to the transversal and the two lines, so they are corresponding angles.

Answer:

$\angle IHJ$ and $\angle DEC$, $\angle IHE$ and $\angle DEH$, $\angle FEH$ and $\angle IHE$, $\angle DEH$ and $\angle GHJ$