2009 OIM Problems/Problem 3
Problem
Let and be two circles with centers and with the same radius, which intersect at and . Let be a point on the arc of that is inside . Line intersects at , line intersects at and the bisector of intersects at and at . Let be the point symmetrical to with respect to the midpoint of . Show that there exists a point satisfying and .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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