Question

name the vertex and sides of each angle. 1) 2) 3) 4)

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: Analyze angle 1

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

Step3: Analyze angle 2

For the angle with points \(E\), \(D\), and \(C\), the vertex is \(D\) and the sides are rays \(\overrightarrow{DE}\) and \(\overrightarrow{DC}\).

Step4: Analyze angle 3

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

Step5: Analyze angle 4

For the angle with points \(T\), \(U\), and \(S\), the vertex is \(T\) and the sides are rays \(\overrightarrow{TS}\) and \(\overrightarrow{TU}\).

Answer:

1. Vertex: \(M\), Sides: \(\overrightarrow{MN}\), \(\overrightarrow{ML}\)
2. Vertex: \(D\), Sides: \(\overrightarrow{DE}\), \(\overrightarrow{DC}\)
3. Vertex: \(R\), Sides: \(\overrightarrow{RS}\), \(\overrightarrow{RQ}\)
4. Vertex: \(T\), Sides: \(\overrightarrow{TS}\), \(\overrightarrow{TU}\)