Question

hw and jk are parallel lines. which angles are alternate exterior angles? ∠hge and ∠idg ∠hge and ∠ijl ∠hge and ∠hgj ∠hge and ∠kjl

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are formed when a transversal intersects two parallel lines. They are non - adjacent, lie outside the two parallel lines, and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle HGE$ and $\angle IJG$:
• $\angle HGE$ lies outside the parallel lines $FH$ and $IK$, $\angle IJG$ also lies outside the parallel lines $FH$ and $IK$.
• They are on opposite sides of the transversal $EL$.
• For $\angle HGE$ and $\angle IJL$: $\angle IJL$ is not an exterior angle.
• For $\angle HGE$ and $\angle HGJ$: They are adjacent angles.
• For $\angle HGE$ and $\angle KJL$: $\angle KJL$ is not an exterior angle.

Answer:

$\angle HGE$ and $\angle IJG$