# CGMO 2012 (China Girls Math Olympiad 2012)- Problem 2

Circles and are tangent to each other externally at . Points and are on , lines and are tangent to at and , respectively, lines and meet at point

Prove that

(1) ;

(2) .

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Posted on Saturday,August 18, 2012, in Geometry, Problems and tagged CGMO 2012, chinese girls mathematics olympiad, geometry problems. Bookmark the permalink. 2 Comments.

I can’t solve it! Can you please give me a hint or the link where I can find CGMO 2012 solutions?

Thanks

Fdz

Yeah ! sorry for late reply..

Here is the link : http://www.artofproblemsolving.com/Forum/viewtopic.php?p=2769659&sid=cb2c05ed914788a002ffc57af6ffaa48#p2769659