Question

use the diagram to name the included angle between the given pair of sides. 1 gh and hi 2 hi and ig 3 ig and hg

Explanation:

Step1: Recall the definition of included angle

The included angle between two sides of a polygon is the angle formed by those two sides.

Step2: Analyze each pair

• For pair \( \overline{GH} \) and \( \overline{HI} \): The angle formed by \( \overline{GH} \) and \( \overline{HI} \) is \( \angle GHI \).
• For pair \( \overline{HI} \) and \( \overline{IG} \): There is no common vertex in the way to form an included - angle as described in the problem (assuming the polygon is \( GHIJ\) - like, but from the given sides \( \overline{HI} \) and \( \overline{IG} \) do not form an angle in the context of the problem's requirement of a single - angle between the two - side pair).
• For pair \( \overline{IG} \) and \( \overline{HG} \): There is no common vertex in the way to form an included - angle as described in the problem.

Answer:

1. \( \angle GHI\)