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2001 IMO Shortlist Problems/G8

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Problem

Let ABC be a triangle with \angle BAC = 60^{\circ}. Let AP bisect \angle BAC and let BQ bisect \angle ABC, with P on BC and Q on AC. If AB + BP = AQ + QB, what are the angles of the triangle?

Solution

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Resources

Want to learn how to tackle those tough AMC/AIME/Olympiad counting and probability problems? Check out Art of Problem Solving's Intermediate Counting & Probability by David Patrick.
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