Question

\overleftrightarrow { h j } and \overleftrightarrow { k m } are parallel lines. which angles are corresponding angles? \angle hil and \angle kln \angle hil and \angle kli \angle hil and \angle jil \angle hil and \angle jig

Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each option

• For $\angle HIL$ and $\angle KLN$: They are not in the same relative position.
• For $\angle HIL$ and $\angle KLI$: They are alternate - interior angles (not corresponding).
• For $\angle HIL$ and $\angle JIL$: They are adjacent angles (not corresponding).
• For $\angle HIL$ and $\angle JIG$: $\overleftrightarrow{HJ}\parallel\overleftrightarrow{KM}$ and $\overleftrightarrow{NG}$ is a transversal. $\angle HIL$ and $\angle JIG$ are in the same relative position (both are on the same side of the transversal and in the "upper - right" position relative to the parallel lines they are near).

Answer:

$\angle HIL$ and $\angle JIG$