SOLUTION: A circle with a central angle of 120 degree has an inscribed angle sharing the same endpoints. What is the measurement of the inscribed angle?

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Question 756847: A circle with a central angle of 120 degree has an inscribed angle sharing the same endpoints. What is the measurement of the inscribed angle?

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Angle AOB and the arc AB it subtends measure 120%5Eo
Angles APB and AQB measure 120%5Eo%2F2=highlight%2860%5Eo%29, half the measure of the arc they subtend.
I believe that was the expected answer.

Angle ARB measures 240%5Eo%2F2=120%5Eo because it subtends and arc measuring 360%5Eo-120%5Eo=240%5Eo, but I do not think it was the kind of angle that was in the mind of the person who proposed that problem.