Question

question 2 of 10 what is the measure of \\(\widehat{xyz}\\)? a. 300° b. 120° c. 150° d. 240°

Explanation:

Step1: Recall circle - angle property

The sum of the measures of the central angles of a circle is 360°.

Step2: Identify the given central - angle

The given central - angle ∠XYZ = 60°.

Step3: Calculate the measure of arc XYZ

The measure of arc XYZ is the measure of the major arc. The measure of the major arc is 360° minus the measure of the minor arc. The minor arc is the arc intercepted by the 60° central - angle. So, the measure of arc XYZ=360° - 120° = 240°. (The measure of an arc is equal to the measure of its central - angle. The 60° central - angle intercepts a 60° arc, and the remaining arc (the one we want) is 360 - 120).

Answer:

D. 240°