Question

given a circle with a central - angle, ∠ros, and an intercepted arc $overset{\frown}{rs}$ that measures 90°, what is the measure of ∠ros? use the keypad to enter your answer in the box. include a symbol for the units of measure. the measure of ∠ros is degrees.

Explanation:

Step1: Recall circle - angle - arc relationship

The measure of a central angle is equal to the measure of its intercepted arc.

Step2: Identify given values

The intercepted arc $\overset{\frown}{RS}$ measures $90^{\circ}$, and $\angle ROS$ is the central angle corresponding to $\overset{\frown}{RS}$.

Answer:

$90^{\circ}$