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:

Step1: Recall Angle Naming Rules

An angle can be named by its vertex and two points on its sides, with the vertex in the middle. For $\angle NVE$, the vertex is $V$, and the sides are $VN$ and $VE$.

Step2: Formulate Another Name

Using the vertex $V$ and points $E$ and $N$ (with $V$ in the middle), another name is $\angle EVN$. Also, check the options: $\angle EVN$ is one of the choices. The right angle (90°) is formed, and the angle $\angle NVE$ (or $\angle EVN$) represents the turn, which is 90°. For the angle name, since the angle is at $V$ with sides to $E$ and $N$, $\angle EVN$ is correct. For the degree turn, a right angle is 90°, so the arrow turned 90 degrees.

Answer:

For the degree turn: 90 degrees. For the angle name: $\angle EVN$ (from the options, $\angle EVN$ is the correct alternative name for $\angle NVE$).