Question

which is another way to name \\( \angle ust \\)?
\\( \angle tsr \\)
\\( \angle tsu \\)
\\( \angle usr \\)
\\( \angle uts \\)

Explanation:

Step1: Recall angle - naming rules

An angle can be named in different ways. When naming an angle with three letters, the vertex is the middle letter.

Step2: Analyze each option

• For \(\angle TSR\), the vertex is \(S\), but the rays are \(SR\) and \(ST\), not \(SU\) and \(ST\).
• For \(\angle TSU\), the vertex is \(S\), and the rays are \(ST\) and \(SU\), which is the same as \(\angle UST\) (since the order of the non - vertex letters can be interchanged when the vertex is in the middle).
• For \(\angle USR\), the vertex is \(S\), but the rays are \(SU\) and \(SR\), not \(SU\) and \(ST\).
• For \(\angle UTS\), the vertex is \(T\), which is not the vertex of \(\angle UST\) (vertex of \(\angle UST\) is \(S\)).

Answer:

\(\angle TSU\)