Question

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

Explanation:

Step1: Recall angle - side definition

An angle's sides are the rays that form it. For $\angle1$, the rays are $\overrightarrow{FG}$ and $\overrightarrow{FE}$.

Step2: Recall vertex definition

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

Step3: Recall angle - naming rules

An angle can be named by the vertex (when there is no ambiguity) or by three points with the vertex in the middle. For $\angle EFH$, other names are $\angle 2$ and $\angle HFE$.

Answer:

(a) $\overrightarrow{FG}$ and $\overrightarrow{FE}$
(b) $F$
(c) $\angle 2$ and $\angle HFE$