Points A, B and C are given on the circle centered on point O. Find the angle BAC if the angle COB = 50 degrees.
| June 17, 2021 | education
The COB angle is the central angle that rests on the BC arc, then the degree measure of the BC arc is also 50.
The inscribed angle ABC also rests on the arc BC, then the inscribed angle BAC is equal to half the degree measure of the arc on which it rests. Angle BAC = 50/2 = 25.
The value of the angle BAC does not depend on the location of point A, if it is not located on the smaller arc BC.
Answer: The BAC angle is 25.
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