Question

which angles are alternate interior angles? ∠ijl and ∠kjg ∠kjg and ∠hge ∠fgj and ∠fge ∠hgj and ∠ijg

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two lines. They are on the interior of the two lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle IJL$ and $\angle KJG$, they are vertical angles.
• For $\angle KJG$ and $\angle HGE$, they have no special angle - relationship as described.
• For $\angle FGJ$ and $\angle FGE$, they are adjacent angles.
• For $\angle HGJ$ and $\angle IJG$, they are alternate - interior angles as they are between the two lines ($FH$ and $IK$) and on opposite sides of the transversal ($EL$).

Answer:

$\angle HGJ$ and $\angle IJG$