points n, p, and r all lie on circle o. arc pr measures 120°. how does the measure of angle rnq relate to…

points n, p, and r all lie on circle o. arc pr measures 120°. how does the measure of angle rnq relate to the measure of arc pr? angle rnq is equal in measure to arc pr. angle rnq is half the measure of arc pr. angle rnq is twice the measure of arc pr. angle rnq is four times the measure of arc pr.

points n, p, and r all lie on circle o. arc pr measures 120°. how does the measure of angle rnq relate to the measure of arc pr? angle rnq is equal in measure to arc pr. angle rnq is half the measure of arc pr. angle rnq is twice the measure of arc pr. angle rnq is four times the measure of arc pr.

Answer

Answer:

B. Angle RNQ is half the measure of arc PR.

Explanation:

Step1: Recall inscribed - angle theorem

The measure of an inscribed angle is half the measure of its intercepted arc.

Step2: Identify angle and arc

Angle RNQ is an inscribed angle and arc PR is its intercepted arc.

Step3: Apply the theorem

Since arc PR measures 120°, then $\angle RNQ=\frac{1}{2}\times120^{\circ} = 60^{\circ}$. So angle RNQ is half the measure of arc PR.