A tangent AC is drawn to a circle with center O, find the angle BAC if the angle BOA = 124 degrees.

The central angle AOB = 124, then the arc AB = 124.

AB – secant, AC – tangent, then the angle between them is equal to half the degree measure of the arc, which is cut off by the secant. Angle BAC = AB / 2 = 124/2 = 62.

Answer: The value of the angle BAC is 62.



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