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:

Part (a)

Step1: Recall vertex definition

A vertex of an angle is the common endpoint of the two rays forming the angle. For $\angle 1$, the two rays are $FE$ and $FG$, so their common endpoint is $F$.

Step1: Recall side definition

The sides of an angle are the two rays that form the angle. For $\angle GFE$, the angle is formed by rays $FG$ and $FE$.

Step1: Recall angle naming rules

An angle can be named by the vertex and a point on each ray, or by just the vertex (if unique). For $\angle 2$, the rays are $FH$ and $FE$, so other names can be $\angle HFE$ (using the points $H$, $F$, $E$) and $\angle EFH$ (reversing the order of the non - vertex points).

Answer:

$F$

Part (b)