Question

(overleftrightarrow{hj}) and (overleftrightarrow{km}) are parallel lines. which angles are corresponding angles? ( angle jig ) and ( angle hil ) ( angle hil ) and ( angle jil ) ( angle mln ) and ( angle kln ) ( angle kli ) and ( angle hig )

Explanation:

Corresponding angles are in the same relative position at each intersection where a straight line crosses two others.

• $\angle JIG$ and $\angle HIL$: These are vertical angles, not corresponding.
• $\angle HIL$ and $\angle JIL$: These are adjacent angles, not corresponding.
• $\angle MLN$ and $\angle KLN$: These are adjacent angles, not corresponding.
• $\angle KLI$ and $\angle HIG$: When two parallel lines ($\overleftrightarrow{HJ}$ and $\overleftrightarrow{KM}$) are cut by a transversal ($\overleftrightarrow{GN}$), $\angle KLI$ and $\angle HIG$ are in the same relative position (both are on the same side of the transversal and in corresponding positions relative to the parallel lines).

Answer:

$\angle KLI$ and $\angle HIG$