Angles made by tangents on a Circle and the corresponding central angle.

Angles of tangents that intersect on a circle.
Play with point A and point C. Is there a relationship that can be extracted by what we know about circles and the angles [math]\alpha[/math] and [math]\beta[/math]? If so, please state the relationship.
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Information: Angles made by tangents on a Circle and the corresponding central angle.