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?
∠n ∠v
∠evn ∠evs

Explanation:

When naming an angle, the vertex must be the middle letter. In \(\angle NVE\), \(V\) is the vertex.

• \(\angle N\) is incorrect because \(N\) is not the vertex of the angle in question.
• \(\angle V\) is too ambiguous as there are multiple angles at point \(V\).
• \(\angle EVN\) has \(V\) as the vertex (middle letter) and is another valid way to name the same angle as \(\angle NVE\) (just reversing the order of the non - vertex letters while keeping the vertex in the middle).
• \(\angle EVS\) is a different angle (it is a straight angle in this coordinate - like diagram, \(180^{\circ}\) if we assume the lines are perpendicular and straight, but it's not the \(90^{\circ}\) angle we are referring to for \(\angle NVE\)).

Answer:

\(\angle EVN\)