Question

AC is a diameter of a circle, and m<AOB = 56. What is mBC? Select the correct answer from below?

a) 146
b) 124
c) 56
d) 28
Answer
Show your work on how you got the answer d) 28
Answered by GPT 3.5
d) 28
Answered by GPT 3.5
Since AC is a diameter, angle AOB is a central angle, and BC is an inscribed angle. The measure of an inscribed angle is half the measure of its central angle that intercepts the same arc.

m<BC = 56 / 2 = 28

Therefore, m<BC = 28.