Based on the circle above, what arc corresponds to the inscribed angle ∠RUT?*1 pointA. arc RUB. arc RVC. arc TUD. arc RT

To determine which arc corresponds to the inscribed angle $\angle RUT$, we can follow these steps:

1. ### Break Down the Problem

We need to identify the arc that is subtended by the angle at point U, which is formed by the points R and T on the circle.

2. ### Relevant Concepts

The measure of an inscribed angle is half the measure of the arc it intercepts. Therefore, the arc we are looking for will be the one that lies directly opposite the angle.

3. ### Analysis and Detail

• The angle $\angle RUT$ opens towards the arc it intercepts.
• The arc corresponding to $\angle RUT$ will be the one that connects points R and T on the circle.

4. ### Verify and Summarize

Looking at the options:

• arc RU: Would intersect with the angle.
• arc RV: Unrelated arc.
• arc TU: Would intersect with the angle.
• arc RT: This arc connects R to T directly and is not intersected by the angle.

Thus, the arc that corresponds to the inscribed angle $\angle RUT$ is arc RT.

Final Answer

D. arc RT