Question

which angle pair is adjacent?
∠lnm and ∠mnq
∠xut and ∠vuw
∠lnm and ∠qnp
∠onp and ∠xut

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles are two angles that have a common vertex and a common side, and no common interior points.

Step2: Analyze each option

• For \(\angle LNM\) and \(\angle MNQ\):

They have a common vertex \(N\) and a common side \(NM\), and no common interior points.

• For \(\angle XUT\) and \(\angle VUW\):

They do not have a common vertex.

• For \(\angle LNM\) and \(\angle QNP\):

They do not have a common side.

• For \(\angle ONP\) and \(\angle XUT\):

They do not have a common vertex or a common side.

Answer:

\(\angle LNM\) and \(\angle MNQ\)