Question

a. name the ray opposite ty
b. what is another name for ∠3?

Explanation:

Step1: Recall ray - opposite concept

Opposite rays have the same endpoint and extend in opposite directions. The endpoint of $\overrightarrow{TY}$ is $T$. The ray with endpoint $T$ extending in the opposite direction is $\overrightarrow{TU}$.

Step2: Recall angle - naming rules

An angle can be named by its vertex if there is only one angle at that vertex, or by three points with the vertex in the middle. For $\angle3$, with vertex $T$, another name is $\angle XTU$ since $X$, $T$, and $U$ are points on the angle with $T$ as the vertex.

Answer:

a. $\overrightarrow{TU}$
b. $\angle XTU$