use the diagram to name the included angle between the given pair of sides.
1. $ \overline { g h } $ and $ \overline { h i } $
2. $ \overline { h i } $ and $ \overline { i g } $
3. $ \overline { i g } $ and $ \overline { h g } $
$ \# \angle h $
$ \# \angle j $
$ \# \angle h g i $
$ \# \angle j g i $
$ \# \angle h i g $
$ \# \angle j i g $

Question

Accepted Answer

# Explanation:
## 1. For $\overline{GH}$ and $\overline{HI}$
The included angle between two sides is the angle formed by the two sides. For sides $\overline{GH}$ and $\overline{HI}$, the common vertex is $H$. The angle formed at vertex $H$ by these two sides is $\angle GHI$. But looking at the options, we can also note that in angle - naming convention, the middle letter is the vertex. For the sides $GH$ and $HI$, the vertex is $H$.
## 2. For $\overline{HI}$ and $\overline{IG}$
The two sides $\overline{HI}$ and $\overline{IG}$ have a common vertex $I$. The angle formed at vertex $I$ by these two sides is $\angle HIG$.
## 3. For $\overline{IG}$ and $\overline{HG}$
The two sides $\overline{IG}$ and $\overline{HG}$ have a common vertex $G$. The angle formed at vertex $G$ by these two sides is $\angle JIG$ (assuming $JG$ is part of the geometric figure's structure as per the side - angle relationship in the diagram).

# Answer:
1. $\angle GHI$ (but if we follow the given option - matching, there is no $\angle GHI$ in the left - hand options. Maybe there is a mis - labeling in the problem. If we assume the problem's options are to be strictly followed, for $\overline{GH}$ and $\overline{HI}$,  there is no correct option in the left - hand side. But if we consider the naming from the right - hand side options for each pair:
   - For $\overline{GH}$ and $\overline{HI}$: $\angle HIG$ (if we assume a mis - interpretation of the side - angle relation in the problem's context)
   - For $\overline{HI}$ and $\overline{IG}$: $\angle HIG$
   - For $\overline{IG}$ and $\overline{HG}$: $\angle JIG$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

1. For \(\overline{GH}\) and \(\overline{HI}\)

2. For \(\overline{HI}\) and \(\overline{IG}\)

3. For \(\overline{IG}\) and \(\overline{HG}\)

Answer: