2013 OIM Problems/Problem 4
Problem
Let be a circle with center , be a diameter of and be the midpoint of one of the arcs of . Point is on segment . Point is such that the quadrilateral is a parallelogram with parallel to and parallel to . The lines and intersect at point . The line cuts the minor arc of at point . Prove that the line is the bisector of the angle .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
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