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6. príklad 2. letnej série 2010/2011

Stredy strán $BC$, $CA$, $AB$ trojuholníka $ABC$ označíme postupne $K$, $L$, $M$. Dokážte, že uhly $AMC$ a $BLC$ majú rovnakú veľkosť práve vtedy, keď majú rovnakú veľkosť uhly $CAK$ a $BCM$.

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