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Azerbaijan IMO TST

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September 15, 2015
geometrycircumcircle

Problem Statement

Let ω\omega be the circumcircle of an acute-angled triangle ABCABC. The lines tangent to ω\omega at the points AA and BB meet at KK. The line passing through KK and parallel to BCBC intersects the side ACAC at SS. Prove that BS=CSBS=CS
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