Question

which name represents the indicated angle?
∠mnq
∠nml
∠nlm
∠lnm

Explanation:

Step1: Recall the angle - naming rule

An angle can be named using three points, with the vertex in the middle.

Step2: Analyze each option

• For $\angle MNQ$: The vertex would be $N$, but the points $M$, $N$, $Q$ do not form the indicated angle.
• For $\angle NML$: The vertex is $M$, not the vertex of the indicated angle.
• For $\angle NLM$: The vertex is $L$, not the vertex of the indicated angle.
• For $\angle LNM$: The vertex is $N$, and the rays are $NL$ and $NM$, which form the indicated angle.

Answer:

$\angle LNM$