Question

use the figure to complete each part. (a) name the vertex of ∠1. (b) name the sides of ∠gfe. (c) write two other names for ∠2.

Explanation:

Step1: Recall vertex - definition

The vertex of an angle is the common endpoint of the rays that form the angle. For $\angle1$, the common endpoint of the rays is $F$.

Step2: Recall side - definition

The sides of an angle are the two rays that form the angle. For $\angle GFE$, the rays are $\overrightarrow{FG}$ and $\overrightarrow{FE}$.

Step3: Recall angle - naming

An angle can be named by the vertex (when there is no ambiguity), or by three points with the vertex in the middle. $\angle2$ can also be named as $\angle EFH$ or $\angle HFE$.

Answer:

(a) $F$
(b) $\overrightarrow{FG}$, $\overrightarrow{FE}$
(c) $\angle EFH$, $\angle HFE$