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 ∠1, the common endpoint of the rays is F.

Step2: Recall side - definition

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

Step3: Recall angle - naming

An angle can be named by the vertex if there is no ambiguity, or by three points with the vertex in the middle. For ∠2, two other names are ∠EFH and ∠HFE.

Answer:

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