Question

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

Explanation:

Step1: Recall Angle Naming Rule

An angle is named by its vertex (middle letter) and two points on the sides. For \( \angle UST \), vertex is \( S \), sides have points \( U \) and \( T \).

Step2: Analyze Each Option

• \( \angle TSR \): Vertex \( S \), sides \( T, R \) – incorrect.
• \( \angle TSU \): Vertex \( S \), sides \( T, U \) – matches \( \angle UST \) (same vertex \( S \), sides \( U, T \)).
• \( \angle USR \): Vertex \( S \), sides \( U, R \) – incorrect.
• \( \angle UTS \): Vertex \( T \) – incorrect.

Answer:

\( \angle TSU \)