Question

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

Explanation:

Step1: Identify sides of an angle

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

Step2: Rename an angle

An angle can be named using the vertex and a point on each side. For \(\angle2\), since the vertex is \(F\), two other names are \(\angle EFH\) (using points \(E\), \(F\), \(H\)) and \(\angle HFE\) (order of points can vary as long as vertex is in the middle).

Step3: Locate vertex of an angle

The vertex of an angle is the common endpoint of the two rays forming the angle. For \(\angle1\), the vertex is \(F\).

Answer:

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