Question

select all the pairs of consecutive interior angles.
i
f
l
j
g
e
k
h
∠kjg and ∠hgj
∠kjl and ∠kjg
∠hge and ∠kjg
∠ljg and ∠fgj

Explanation:

Step1: Recall definition of consecutive - interior angles

Consecutive - interior angles are two interior angles lying on the same side of the transversal.

Step2: Analyze each pair

• For $\angle KJG$ and $\angle HGJ$: They are interior angles on the same side of the transversal $LE$, so they are consecutive - interior angles.
• For $\angle KJL$ and $\angle KJG$: $\angle KJL$ and $\angle KJG$ are a linear - pair (adjacent supplementary angles), not consecutive - interior angles.
• For $\angle HGE$ and $\angle KJG$: They are not consecutive - interior angles as they are not on the same side of the transversal in the correct way.
• For $\angle IJG$ and $\angle FGJ$: They are interior angles on the same side of the transversal $LE$, so they are consecutive - interior angles.

Answer:

$\angle KJG$ and $\angle HGJ$, $\angle IJG$ and $\angle FGJ$