Question

how many degrees did the arrow turn?
90
you can name the turn ∠nve, because it
connects points n, v, and e in order.
what is another good name you could use
for ∠nve?

Explanation:

Step1: Recall angle - naming rules

An angle can be named in different ways. When naming an angle using three - letter notation, the vertex letter is in the middle. For \(\angle NVE\), the vertex is \(V\).

Step2: Analyze each option

• Option \(\angle N\): This is incorrect because \(\angle N\) would imply that the vertex is \(N\), but in \(\angle NVE\), the vertex is \(V\).
• Option \(\angle V\): This is too ambiguous as there are multiple angles at vertex \(V\) (e.g., \(\angle NVW\), \(\angle EVN\), \(\angle VES\) etc.).
• Option \(\angle EVN\): Here, the vertex is \(V\) (the middle letter), and it represents the same angle as \(\angle NVE\) since the order of the non - vertex letters can be reversed when naming an angle (the angle is formed by the rays \(VN\) and \(VE\)).
• Option \(\angle EVS\): This is incorrect because the angle \(\angle EVS\) is a different angle (formed by rays \(VE\) and \(VS\)) from \(\angle NVE\).

Answer:

\(\angle EVN\)