Question

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

Explanation:

Step1: Recall the definition of an angle's sides

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

Step2: Rename \(\angle2\)

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

Step3: Identify the vertex of \(\angle1\)

The vertex of an angle is the common endpoint of its sides. For \(\angle1\), the vertex is \(F\).

Answer:

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