Question

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

Explanation:

Part (a)

Step1: Recall angle side definition

An angle's sides are the two rays forming it. For $\angle GFE$, the vertex is $F$, and the rays are $\overrightarrow{FG}$ and $\overrightarrow{FE}$.

Step1: Recall angle naming rules

An angle can be named by vertex and two points (one on each side), with vertex in the middle, or by vertex alone if unique. For $\angle 2$ (with vertex $F$, sides $\overrightarrow{FE}$ and $\overrightarrow{FH}$), other names are $\angle EFH$ and $\angle HFE$.

Step1: Recall vertex definition

The vertex of an angle is the common endpoint of its two sides. For $\angle 1$, the common endpoint of its sides is $F$.

Answer:

$\overrightarrow{FG}$ and $\overrightarrow{FE}$

Part (b)