MEMO 2010 ekipno problem 6


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28. travnja 2012.
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Let A, B, C, D, E be points such that ABCD is a cyclic quadrilateral and ABDE is a parallelogram. The diagonals AC and BD intersect at S and the rays AB and DC intersect at F. Prove that \sphericalangle{AFS}=\sphericalangle{ECD}.
Izvor: Srednjoeuropska matematička olimpijada 2010, ekipno natjecanje, problem 6