Question

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

Explanation:

(a) The vertex of an angle is the common endpoint of its two sides. For ∠1, the common endpoint is point F.
(b) The sides of an angle are the two rays forming it. For ∠GFE, the rays are $\overrightarrow{FG}$ and $\overrightarrow{FE}$.
(c) An angle can be named by its vertex (when no other angles share that vertex) or by three points with the vertex in the middle. ∠2 can be named ∠EFH or ∠HFE.

Answer:

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