Question

⇆ hj and ⇆ km are parallel lines. which angles are corresponding angles? ∠jig and ∠kli ∠jig and ∠mln ∠jig and ∠kln ∠jig and ∠mli

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 $\angle JIG$ and $\angle KLI$: They are not in the same relative position.
• For $\angle JIG$ and $\angle MLN$: They are not in the same relative position.
• For $\angle JIG$ and $\angle KLN$: They are not in the same relative position.
• For $\angle JIG$ and $\angle MLI$: $\overleftrightarrow{HJ}\parallel\overleftrightarrow{KM}$, and $\overleftrightarrow{NG}$ is the transversal. $\angle JIG$ and $\angle MLI$ are in the same relative position (both are in the upper - right position at their respective intersections).

Answer:

$\angle JIG$ and $\angle MLI$