Question

(a) name the sides of ∠2. and (b) write two other names for ∠1. and (c) name the vertex of ∠hfe.

Explanation:

Step1: Recall angle - side relationship

The sides of an angle are the two rays that form the angle. For $\angle2$, the rays are $\overrightarrow{FE}$ and $\overrightarrow{FH}$.

Step2: Recall angle - naming conventions

An angle can be named by the vertex alone (if there is no ambiguity), by three points (with the vertex in the middle), or by a number. For $\angle1$, two other names are $\angle GFE$ and $\angle EFG$.

Step3: Recall vertex definition

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

Answer:

(a) $\overrightarrow{FE}$, $\overrightarrow{FH}$
(b) $\angle GFE$, $\angle EFG$
(c) $F$