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 \\( \angle nve \\), because it connects points n, v, and e in order. what is another good name you could use for \\( \angle nve \\)? \\( \angle n \\) \\( \angle v \\) \\( \angle evn \\) \\( \angle evs \\)

Explanation:

Step1: Recall the naming rule of angles

An angle can be named in different ways. One way is by using three points with the vertex in the middle. Another way is by using the vertex alone if there is no ambiguity.

Step2: Analyze each option

• $\angle N$: There are multiple angles with vertex at $N$ (not just the one we are considering), so this is ambiguous.
• $\angle V$: There are multiple angles with vertex at $V$ (not just the one we are considering), so this is ambiguous.
• $\angle EVN$: This follows the three - point naming rule with vertex $V$ in the middle. It is a valid name for the angle $\angle NVE$.
• $\angle EVS$: This represents a different angle (not the right - angle we are interested in).

Answer:

$\angle EVN$