Question

If angle SUT is 39 degrees, what does that tell us about angle TUV? What arc measure describes arc VTS? How can we make any assertions about these angle and arc measures?

A. Angle TUV is 141 degrees, Arc VTS is 141 degrees, and the angle and arc measures can be calculated using the properties of inscribed angles and intercepted arcs.

B. The length of the radius can be calculated using the Law of Sines.

C. Angle measures and arc measures cannot be determined without additional information.

D. Angle TUV is 39 degrees, Arc VTS is 39 degrees, and the angle and arc measures can be calculated using the properties of central angles and intercepted arcs.

Answer 1

Angle TUV and arc VTS cannot be determined without additional information.

Step-by-step explanation:

The angle SUT being 39 degrees tells us nothing about angle TUV. These two angles are not related or connected in any way, so we cannot make any assertions about angle TUV based on the given information.

The arc measure of VTS cannot be determined without additional information. The measure of an arc depends on the size of the central angle that intercepts it, and we are not given any information about the central angle VTS.

Therefore, the correct answer is option C: Angle measures and arc measures cannot be determined without additional information.