Question

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

Explanation:

Step1: Identify sides of ∠2

The sides of ∠2 are the two line segments forming the angle at vertex F: $\overrightarrow{FH}$ and $\overrightarrow{FE}$.

Step2: Identify other names for ∠1

∠1 can be named by its vertex and the two sides, in order: $\angle GFE$ and $\angle F$ (since F is the unique vertex for this angle in context).

Step3: Identify vertex of ∠HFE

The vertex of an angle is the middle letter in its three-letter name, so for ∠HFE, the vertex is F.

Answer:

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