Question

a weathervane is pointing north. after the wind changes direction, the weathervane points east. the turn forms a right angle. 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 is the middle letter. In \(\angle NVE\), \(V\) is the vertex. Another way to name the angle is by reversing the order of the non - vertex letters while keeping the vertex in the middle. So \(\angle EVN\) is also a valid name as it has the same vertex \(V\) and the same two rays forming the angle. \(\angle N\) and \(\angle V\) are not correct because \(\angle N\) doesn't specify the vertex (assuming \(N\) is a point, not a vertex for this angle in the proper sense as per the angle naming rules where three - letter naming is for non - single - letter - vertex cases here) and \(\angle V\) is too ambiguous (there could be multiple angles at vertex \(V\)). \(\angle EVS\) is a different angle as it has a different set of rays forming it.

Answer:

\(\angle EVN\)