Point A, B and C lie on a circle with center O. What is the angle ABC
| September 11, 2021 | education
Point A. B and C lie on a circle with center O. What is the angle ABC if the angle AOC = 146 (degrees), and points B and O lie on the same side of the straight line AC.
According to the condition of the problem, points B and O lie on one side of the straight line AC, then the angle AOC will be the central angle for the arc CA, on which the inscribed angle ABC rests. We know that the inscribed angle is equal to half of the central angle, so the angle ABC = 146 degrees / 2 = 73 degrees.
Answer: 73 degrees.
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