The problem asks us to name the given angle in three different ways. The angle has vertex S, and points T and R lie on the two rays that make up the angle.

1. Problem Description

The problem asks us to name the given angle in three different ways. The angle has vertex S, and points T and R lie on the two rays that make up the angle.

2. Solution Steps

There are two standard ways to name an angle:

(1) Using three letters, where the vertex is always the middle letter. The other two letters are points on the rays that form the angle.

(2) Using only the vertex letter, but only if there is no ambiguity.

In the given figure, we can name the angle as $\angle TSR$ or $\angle RST$. Since the vertex is S, we can also name the angle as $\angle S$.

Therefore, three possible names for the angle are $\angle TSR$, $\angle RST$, and $\angle S$.

3. Final Answer

$\angle TSR$ and $\angle RST$ and $\angle S$