Question

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

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 pair ∠HGE and ∠FGJ: ∠HGE and ∠FGJ are non - adjacent, lie outside the lines formed by the intersection of the transversal with the other lines and are on opposite sides of the transversal.
For the pair ∠HGE and ∠IJ G: ∠IJ G is not in the correct position relative to ∠HGE to be an alternate - exterior angle.
For the pair ∠HGE and ∠FGE: ∠FGE and ∠HGE are adjacent, so they are not alternate - exterior angles.
For the pair ∠HGE and ∠IJL: ∠IJL is not in the correct position relative to ∠HGE to be an alternate - exterior angle.

Answer:

∠HGE and ∠FGJ