Question

question 2 of 10
what is the measure of (overarc{xyz})?

a. (300^circ)

b. (240^circ)

c. (120^circ)

d. (150^circ)

Explanation:

Step1: Recall total circle degrees

A full circle is $360^\circ$.

Step2: Identify inscribed angle

The inscribed angle $\angle XYZ = 60^\circ$.

Step3: Find opposite arc measure

The arc opposite the inscribed angle (minor arc $XZ$) is $2\times60^\circ=120^\circ$.

Step4: Calculate arc $\overarc{XYZ}$

Subtract minor arc from full circle: $360^\circ - 120^\circ = 240^\circ$.

Answer:

B. $240^\circ$