Question

enter three different names for the angle below. separate each name with a comma. to get the angle symbol, use angle(). for example, entering angle(r) will return ∠r. similarly, entering angle(qrs) will return ∠qrs.

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex alone if there is only one angle at that vertex. Here, the vertex is E. Also, it can be named by three points where the vertex is the middle - point.

Step2: Name the angle using three - point notation

We can name the angle as $\angle DEF$ where D is a point on one ray and F is a point on the other ray with E as the vertex.

Step3: Name the angle using the reverse three - point notation

We can also name it as $\angle FED$.

Step4: Name the angle using the vertex only

Since there is only one angle at vertex E, we can name it as $\angle E$.

Answer:

angle(DEF), angle(FED), angle(E)