Question

→jl and →mo are parallel lines. which angles are adjacent angles? ∠mnp and ∠jkn ∠mnp and ∠mnk ∠mnp and ∠lkn ∠mnp and ∠jki

Explanation:

Step1: Recall adjacent angles definition

Adjacent angles share a common vertex and a common side.

Step2: Analyze each option

• For \( \angle MNP \) and \( \angle JKN \):
• They don't share a common vertex. So, they are not adjacent.
• For \( \angle MNP \) and \( \angle MNK \):
• They share vertex \( N \) and side \( \overrightarrow{NP} \). So, they are adjacent.
• For \( \angle MNP \) and \( \angle LKN \):
• They don't share a common vertex. So, they are not adjacent.
• For \( \angle MNP \) and \( \angle JKI \):
• They don't share a common vertex. So, they are not adjacent.

Answer:

B. \( \angle MNP \) and \( \angle MNK \)