Question

select all the pairs of consecutive interior angles.
∠ihj and ∠ghe
∠fec and ∠ghe
∠ghe and ∠deh
∠ihe and ∠feh

Explanation:

Step1: Recall definition of consecutive interior angles

Consecutive interior angles are two angles that lie between two lines and on the same side of a transversal.

Step2: Analyze each pair

• For $\angle IHJ$ and $\angle GHE$, they are vertical - angles, not consecutive interior angles.
• For $\angle FEC$ and $\angle GHE$, they are consecutive interior angles as they are between lines $GI$ and $DF$ and on the same side of transversal $JC$.
• For $\angle GHE$ and $\angle DEH$, they are consecutive interior angles as they are between lines $GI$ and $DF$ and on the same side of transversal $JC$.
• For $\angle IHE$ and $\angle FEH$, they are consecutive interior angles as they are between lines $GI$ and $DF$ and on the same side of transversal $JC$.

Answer:

$\angle FEC$ and $\angle GHE$, $\angle GHE$ and $\angle DEH$, $\angle IHE$ and $\angle FEH$