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?
options: ∠n, ∠v, ∠evn, ∠evs

Explanation:

First Question: How many degrees did the arrow turn?

Step1: Observe the diagram

The diagram shows a right angle (marked with a right angle symbol) between the initial and final direction of the arrow. A right angle is defined as an angle of 90 degrees.

Step2: Confirm the angle measure

Since the angle between the two directions of the arrow is a right angle, the measure of the turn is 90 degrees.

To name an angle, we can use the middle letter as the vertex and the other two letters as the points on the sides, in any order (as long as the vertex is in the middle). For ∠NVE, the vertex is V, and the points on the sides are N and E. So we can rearrange the order of N and E (keeping V in the middle) to get another name. So ∠EVN is also a valid name because the vertex is still V, and the sides are along EV and NV (or VE and VN, which are the same as EV and NV in terms of the angle).

Answer:

90°

Second Question: What is another good name for ∠NVE?