Question

kuta software - infinite geometry
naming angles
name the vertex and sides of each angle.
1)
3)
2)
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. The sides of an angle are the two rays.

Step2: Analyze angle 1

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

Step3: Analyze angle 2

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

Step4: Analyze angle 3

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

Step5: Analyze angle 4

For the angle with points \(S\), \(T\), \(U\), 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: \(\overrightarrow{TS}\), \(\overrightarrow{TU}\)