Question

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

Explanation:

Step1: Recall the angle - naming rule

An angle can be named in different ways. One way is to use three capital letters where the middle letter is the vertex of the angle. For \(\angle UST\), the vertex is \(S\).

Step2: Check each option

• For \(\angle UTS\), the vertex is \(T\), which is not the vertex of \(\angle UST\).
• For \(\angle USR\), the vertex is \(S\), but the sides are \(SU\) and \(SR\) which is not the same as the sides of \(\angle UST\).
• For \(\angle TSU\), the vertex is \(S\), and the sides are \(ST\) and \(SU\) which is the same as the sides of \(\angle UST\) (since the order of the non - vertex letters does not matter when naming an angle with three letters as long as the vertex is in the middle).
• For \(\angle TSR\), the vertex is \(S\), but the sides are \(TS\) and \(SR\) which is not the same as the sides of \(\angle UST\).

Answer:

\(\angle TSU\)