Question

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

Explanation:

Step1: Recall angle - naming conventions

An angle can be named by its vertex letter (if there is only one angle at that vertex), or by three - point naming where the vertex is the middle letter.
For ∠2 with vertex F, two other names are ∠EFH and ∠HFE.

Step2: Identify sides of an angle

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

Step3: Determine the vertex of an angle

The vertex of an angle is the common endpoint of the rays that form the angle. For ∠1, the vertex is F.

Answer:

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