Question

use the figure to complete each part.
(a) name the sides of \\( \angle g f e \\).
and
(b) write two other names for \\( \angle 2 \\).
and
(c) name the vertex of 1.

Explanation:

Part (a)

Step 1: Recall the definition of an angle's sides

An angle is formed by two rays with a common endpoint. For \(\angle GFE\), the two rays (sides) are \(\overrightarrow{FG}\) and \(\overrightarrow{FE}\).

Part (b)

Step 1: Use angle - naming conventions

An angle can be named by its vertex when there is no ambiguity. Also, we can use three - letter notation. For \(\angle2\), since the vertex is \(F\), and the rays are \(FH\) and \(FE\), two other names are \(\angle EFH\) (using three - letter notation with the vertex in the middle) and \(\angle HFE\) (another valid three - letter notation as long as the vertex is in the middle).

Part (c)

Step 1: Recall the definition of an angle's vertex

The vertex of an angle is the common endpoint of the two rays that form the angle. For \(\angle1\), the two rays are \(\overrightarrow{FG}\) and \(\overrightarrow{FE}\), and their common endpoint is \(F\).

Answer:

(a) \(\overrightarrow{FG}\) and \(\overrightarrow{FE}\)
(b) \(\angle EFH\) and \(\angle HFE\)
(c) \(F\)