Question

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

Explanation:

Step1: Recall Angle Naming Rules

An angle is named by its vertex in the middle and two points on the rays. For $\angle UST$, the vertex is \( S \), and the rays are \( SU \) and \( ST \).

Step2: Analyze Each Option

• $\angle USR$: Vertex \( S \), rays \( SU \) and \( SR \) – incorrect.
• $\angle UTS$: Vertex \( T \), rays \( UT \) and \( TS \) – incorrect.
• $\angle TSU$: Vertex \( S \), rays \( ST \) and \( SU \) – same as $\angle UST$ (order of points on rays can reverse).
• $\angle TSR$: Vertex \( S \), rays \( ST \) and \( SR \) – incorrect.

Answer:

$\angle TSU$