The tangent AM and the chord AB are drawn through the point A of the circle with the center O

The tangent AM and the chord AB are drawn through the point A of the circle with the center O; the angle AOB is 82 degrees. What is the angle MAB.

The angle between the chord and the tangent is equal to half the degree measure of the arc enclosed between them.

The degree measure of the arc AB is equal to the central angle AOB and is equal to 82, then the angle MAB = 82/2 = 41

Answer: The angle MAB is 41.



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