Question

(a) write two other names for ∠efh. and (b) name the vertex of ∠hfg. (c) name the sides of ∠1.

Explanation:

Step1: Recall angle - naming rules

An angle can be named by the vertex alone (if there is no ambiguity), or by three points with the vertex in the middle.

Step2: Answer part (a)

For $\angle EFH$, two other names are $\angle 2$ and $\angle HFE$.

Step3: Answer part (b)

The vertex of an angle is the common endpoint of the rays that form the angle. For $\angle HFG$, the vertex is $F$.

Step4: Answer part (c)

The sides of an angle are the two rays that form the angle. For $\angle 1$ (which is $\angle GFE$), the sides are $\overrightarrow{FG}$ and $\overrightarrow{FE}$.

Answer:

(a) $\angle 2$, $\angle HFE$
(b) $F$
(c) $\overrightarrow{FG}$, $\overrightarrow{FE}$