Question

fh and ik are parallel lines. which angles are alternate interior angles? ∠ijg and ∠kjg ∠ijg and ∠hge ∠ijg and ∠ijl ∠ijg and ∠hgj

Explanation:

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

• $\angle IJG$ and $\angle KJG$: These are adjacent angles, not alternate interior angles.
• $\angle IJG$ and $\angle HGE$: These are not between the two parallel lines $FH$ and $IK$.
• $\angle IJG$ and $\angle IJL$: These are adjacent angles, not alternate interior angles.
• $\angle IJG$ and $\angle HGJ$: $\overrightarrow{FH}$ and $\overrightarrow{IK}$ are parallel lines, and $EL$ is the transversal. $\angle IJG$ and $\angle HGJ$ lie between the parallel lines $FH$ and $IK$ and on opposite sides of the transversal $EL$, so they are alternate interior angles.

Answer:

$\angle IJG$ and $\angle HGJ$