Question

what is the measure of (overparen{acb}) in (odot o) below? a. (150^{circ}) b. (30^{circ}) c. (330^{circ}) d. (210^{circ})

Explanation:

Step1: Recall the total degrees in a circle

A full - circle has \(360^{\circ}\).

Step2: Find the measure of the major arc

Given the central angle \(\angle AOB = 30^{\circ}\). The measure of the major arc \(\overparen{ACB}\) is \(360^{\circ}-\angle AOB\).
Substitute \(\angle AOB = 30^{\circ}\) into the formula: \(360^{\circ}- 30^{\circ}=330^{\circ}\)

Answer:

C. \(330^{\circ}\)