Question

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

Explanation:

Step1: Recall angle - naming rules

An angle can be named using the vertex letter alone (when there is only one angle at that vertex), by three - point naming (with the vertex in the middle), or by a number or symbol if given. Here, the vertex is \(U\), and the rays are \(US\) and \(UT\).

Step2: First naming method

We can name the angle as \(\angle SUT\) using the three - point naming method with the vertex \(U\) in the middle.

Step3: Second naming method

We can also name it as \(\angle TUS\) (still three - point naming, just reversing the order of the non - vertex points).

Step4: Third naming method

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

Answer:

\(\angle SUT\), \(\angle TUS\), \(\angle U\)