Question

hj and km are parallel lines. which angles are adjacent angles? ∠hil and ∠jig ∠hil and ∠kln ∠hil and ∠mln ∠hil and ∠hig

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side.

Step2: Analyze each option

• For $\angle HIL$ and $\angle JIG$, they share a common vertex $I$ and a common - side $IG$.
• For $\angle HIL$ and $\angle KLN$, they do not share a common vertex or side.
• For $\angle HIL$ and $\angle MLN$, they do not share a common vertex or side.
• For $\angle HIL$ and $\angle HIG$, they do not share a common side.

Answer:

$\angle HIL$ and $\angle JIG$