Question

fh and ik are parallel lines. which angles are corresponding angles? ∠hge and ∠kjl ∠hge and ∠hgj ∠hge and ∠jig ∠hge and ∠kig

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Analyze each option

• For $\angle HGE$ and $\angle KJL$: $\angle HGE$ and $\angle KJL$ are in the same relative position with respect to the parallel lines $\overleftrightarrow{FH}$ and $\overleftrightarrow{IK}$ and the transversal $\overleftrightarrow{EL}$. They are corresponding angles.
• $\angle HGE$ and $\angle HGJ$ are adjacent angles.
• $\angle HGE$ and $\angle IJG$ are not in a corresponding - angles relationship.
• $\angle HGE$ and $\angle KIG$ are not in a corresponding - angles relationship.

Answer:

$\angle HGE$ and $\angle KJL$