Question

which angles are alternate exterior angles? ∠hge and ∠ijl ∠hge and ∠ij g ∠fge and ∠hgj ∠kjl and ∠hge

Explanation:

Step1: Recall alternate - exterior angles definition

Alternate - exterior angles are non - adjacent angles that lie outside two lines and on opposite sides of a transversal.

Step2: Analyze each option

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

• $\angle HGE$ and $\angle IJL$: $\angle HGE$ and $\angle IJL$ are non - adjacent, lie outside the lines $IK$ and $FH$ and on opposite sides of the transversal $LE$.
• $\angle HGE$ and $\angle IJG$: $\angle IJG$ is not an exterior angle with respect to the lines $IK$ and $FH$.
• $\angle FGE$ and $\angle HGJ$: $\angle FGE$ and $\angle HGJ$ are not in the correct position to be alternate exterior angles.
• $\angle KJL$ and $\angle HGE$: $\angle KJL$ and $\angle HGE$ are not alternate exterior angles.

Answer:

$\angle HGE$ and $\angle IJL$