Question

question 9 of 10 what is the measure of $overparen{acb}$ in $odot o$ below? a. 150° b. 330° c. 30° d. 210°

Explanation:

Step1: Recall circle - arc relationship

The measure of a full - circle is 360°.

Step2: Identify the central angle of the minor arc

The central angle of arc $\overset{\frown}{AB}$ is 30°.

Step3: Calculate the measure of arc $\overset{\frown}{ACB}$

The measure of arc $\overset{\frown}{ACB}$ is the measure of the major arc. The measure of a major arc is 360° minus the measure of the corresponding minor arc. So, the measure of $\overset{\frown}{ACB}=360^{\circ}- 30^{\circ}=330^{\circ}$.

Answer:

B. 330°