Question

look at this angle: name this angle in three different ways:

Explanation:

Step1: Recall angle - naming rules

An angle can be named by its vertex, by the points on its rays with the vertex in the middle, or by a number or symbol placed inside the angle. Here, the vertex is \(Z\), and the rays are \(\overrightarrow{ZX}\) and \(\overrightarrow{ZY}\).

Step2: Name by vertex

We can name the angle as \(\angle Z\).

Step3: Name by points

We can name it as \(\angle XZY\) or \(\angle YZX\) (the vertex \(Z\) must be in the middle when naming with three - point notation).

Answer:

\(\angle Z\), \(\angle XZY\), \(\angle YZX\)