Question

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

Explanation:

Step1: Recall definition of alternate - exterior angles

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

Step2: Analyze each option

For two lines cut by a transversal, in the given figure, $\angle HGE$ and $\angle IJG$ are non - adjacent exterior angles on the opposite sides of the transversal. $\angle HGE$ and $\angle FGJ$ are vertical angles. $\angle HGE$ and $\angle FGE$ are adjacent angles. $\angle HGE$ and $\angle IJL$ have no such angle relationship as alternate - exterior.

Answer:

$\angle HGE$ and $\angle IJG$