Question

name the vertex and sides of each angle. 23) 24)

Explanation:

Step1: Recall angle - vertex and side definitions

The vertex of an angle is the common endpoint of the two rays that form the angle, and the sides are the two rays.

Step2: Identify for angle in 23

For the angle with points \(H\), \(I\), \(J\), the vertex is \(I\) since it is the common endpoint. The sides are rays \(\overrightarrow{IH}\) and \(\overrightarrow{IJ}\).

Step3: Identify for angle in 24

For the angle with points \(G\), \(H\), \(I\), the vertex is \(H\) as it is the common endpoint. The sides are rays \(\overrightarrow{HG}\) and \(\overrightarrow{HI}\).

Answer:

1. Vertex: \(I\); Sides: \(\overrightarrow{IH}\), \(\overrightarrow{IJ}\)
2. Vertex: \(H\); Sides: \(\overrightarrow{HG}\), \(\overrightarrow{HI}\)