Question

Angle Y is inscribed in the circle below. what is the measure of arc XZ

Answer 1

The measure of arc XZ is 30 degrees. So, the correct option is D.

The measure of arc XZ is equal to the central angle that intercepts it, which is half of the measure of the inscribed angle that it subtends.

In this case, inscribed angle Y is 60 degrees, so arc XZ measures:

60 degrees / 2 = 30 degrees.

So the answer is 30 degrees.

Answer 2

XZ looks like it's about 1/3 of the circle

1/3 of 360 = 120