Circle Chains and Inscribed Angles
What is it all about?
A Mathematical Droodle

There are several circles (more than 3) concurrent circles. A point is chosen on one of them and a chord is drawn from that point to a point of intersection of the circle with the next one. The chord is extended to the second intersection with that circle. The process continues until we reach the orginal circle. As a matter of fact, the final destination point will always coincide with the point of departure.

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Explanation

This is a classical problem whose solution is based on the technique known as chasing inscribed angles.

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