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reviewing central angles and arc measures. use the drop - down menus to…

Question

reviewing central angles and arc measures. use the drop - down menus to complete the statements. a central angle of circle p is angle. the measure of $overset{\frown}{ru}$ is. 120°. 107°. 59°

Explanation:

Step1: Recall central - angle definition

A central angle has its vertex at the center of the circle. Among the given angles, ∠TPQ has its vertex at the center P of circle P.

Step2: Recall arc - measure relationship

The measure of an arc is equal to the measure of its central angle. Since the central angle corresponding to arc $\overset{\frown}{RU}$ is the angle at the center that subtends it. But we need to find the central - angle for $\overset{\frown}{RU}$. The central angle for $\overset{\frown}{RU}$ is the angle at the center P that subtends it. If we assume the circle is divided into arcs and central angles as shown, we need to find the central angle for $\overset{\frown}{RU}$. However, from the given information, we can't directly determine the measure of $\overset{\frown}{RU}$ without more details about the angles related to it. But for the central - angle part, the central angle of circle P is ∠TPQ.

Answer:

A central angle of circle P is angle TPQ.