Question

select all the pairs of consecutive interior angles.
options: ∠feh and ∠ihe, ∠dec and ∠feh, ∠deh and ∠ghe, ∠deh and ∠dec

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 $\angle FEH$ and $\angle IHE$: They lie between lines $DF$ and $GI$ and on the same side of transversal $CJ$, so they are consecutive - interior angles.
• For $\angle DEC$ and $\angle FEH$: They are a linear - pair (adjacent and supplementary), not consecutive - interior angles.
• For $\angle DEH$ and $\angle GHE$: They lie between lines $DF$ and $GI$ and on the same side of transversal $CJ$, so they are consecutive - interior angles.
• For $\angle DEH$ and $\angle DEC$: They are a linear - pair (adjacent and supplementary), not consecutive - interior angles.

Answer:

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