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 the included angle

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

Step2: Identify the included angle for 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 \( \overline{IG} \): The angle formed by \( \overline{HI} \) and \( \overline{IG} \) is \( \angle HIG \).
• For pair \( \overline{IG} \) and \( \overline{HG} \): The angle formed by \( \overline{IG} \) and \( \overline{HG} \) is \( \angle IGH \).

Answer:

1. \( \angle GHI \)
2. \( \angle HIG \)
3. \( \angle IGH \)