Concursului SARAGHIN 2013 prin corespondenta! (in engleza)

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sunken rock
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Re: Concursului SARAGHIN 2013 prin corespondenta! (in englez

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In order the circles touch we need $\angle ALK+\angle AKL=\angle BAC$, i.e. $LK=BC$, which happens when $X\in\stackrel{\frown}{BOC}$ of the circle $\odot (BOC)$. We get the result by easy angle chase.

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sunken rock
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