Question

which of the following options could be used as a name for this angle? ∠n ∠wnh ∠nwh ∠nhw

Explanation:

Step1: Recall angle - naming rules

An angle can be named using the vertex - point in the middle when using three points. The vertex of the given angle is \(W\).

Step2: Analyze each option

• Option \(\angle N\): This is incorrect because \(N\) is not the vertex of the angle.
• Option \(\angle WNH\): The vertex should be in the middle, so this is incorrect.
• Option \(\angle NWH\): Here, \(W\) is the vertex and \(N\) and \(H\) are points on the rays forming the angle, so this is a correct name for the angle.
• Option \(\angle NHW\): The vertex is not in the middle, so this is incorrect.

Answer:

C. \(\angle NWH\)