Question

kuta software - infinite geometry
naming angles
name the vertex and sides of each angle.
1)
3)

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 1)

For the angle with points \(L\), \(M\), \(N\), the vertex is \(M\) since it is the common endpoint. The sides are rays \(\overrightarrow{ML}\) and \(\overrightarrow{MN}\).

Step3: Identify for angle in 3)

For the angle with points \(Q\), \(R\), \(S\), the vertex is \(R\) as it is the common endpoint. The sides are rays \(\overrightarrow{RQ}\) and \(\overrightarrow{RS}\).

Answer:

1. Vertex: \(M\), Sides: \(\overrightarrow{ML}\), \(\overrightarrow{MN}\)
2. Vertex: \(R\), Sides: \(\overrightarrow{RQ}\), \(\overrightarrow{RS}\)