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I need help with the following problem.

Given an acute triangle $ABC$. $BB_1$ and $ CC_1$ are the altitudes. If $\frac{B_1C_1} {C_1B} = \sqrt 2$ and $\angle ACB=75^{\circ}$, find the angles $\angle ABC$ and $\angle BAC$

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    Your results are correct, you can write answer to your question. Other MSE users could benefit from it.2012-06-22

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