Question

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

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are between two lines and on opposite sides of a transversal.

Step2: Analyze each option

For the given lines $IK$ and $FH$ with transversal $LE$:

• $\angle HGE$ and $\angle FGJ$ are not alternate - interior angles.
• $\angle KJL$ and $\angle FGE$ are not related in the way of alternate - interior angles.
• $\angle FGJ$ and $\angle KJG$ are between the lines $IK$ and $FH$ and on opposite sides of the transversal $LE$, so they are alternate - interior angles.
• $\angle FGE$ and $\angle HGJ$ are not alternate - interior angles.

Answer:

$\angle FGJ$ and $\angle KJG$