Question

1. name the angle on the left 3 different ways.
2. name the vertex of the angle.

Explanation:

Step1: Recall angle - naming rules

An angle can be named using the vertex alone (if there is only one angle at the vertex), by three points (with the vertex in the middle), or by a number or letter assigned to the angle. In this case, the vertex is \(M\), and the rays are \(MH\) and \(MB\).

Step2: Name the angle using three - point notation

We can name the angle as \(\angle HMB\) or \(\angle BMH\) since the vertex \(M\) is in the middle of the two other points \(H\) and \(B\).

Step3: Name the angle using the vertex

Since there is only one angle at vertex \(M\) in the given diagram, we can also name it as \(\angle M\).

Step4: Identify the vertex

The vertex of an angle is the common endpoint of the two rays that form the angle. Here, the common endpoint of rays \(MH\) and \(MB\) is point \(M\).

Answer:

1. \(\angle HMB\), \(\angle BMH\), \(\angle M\)
2. \(M\)