Question

use the figure to complete each part.
(a) name the vertex of \\( \angle h f g \\).
\\( f \\)
(b) write two other names for \\( \angle e f h \\).
\\( \square \\) and \\( \square \\)
(c) name the sides of \\( \angle 1 \\).
\\( \overrightarrow{f g} \\) and \\( \overrightarrow{f e} \\)

Explanation:

Part (b)

Step1: Recall angle - naming rules

An angle can be named in three ways: by its vertex (if there is only one angle at that vertex), by three points (with the vertex in the middle), or by a number (if it is labeled).
For \(\angle EFH\), the vertex is \(F\).

Step2: Use the vertex - only naming (if applicable)

Since there are multiple angles at vertex \(F\), we cannot use just \(F\). Using the three - point naming:
One name is \(\angle2\) (the number given in the figure for that angle). Another name is \(\angle HFE\) (using the three - point notation with the vertex \(F\) in the middle).

Answer:

b. \(\angle2\) and \(\angle HFE\)