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(BUL 4) Let M be the point inside the right-angled triangle ABC (\angle C = 90^{\circ}) such that \angle MAB = \angle MBC = \angle MCA =\phi. Let \Psi be the acute angle between the medians of AC and BC. Prove that \frac{\sin(\phi+\Psi)}{\sin(\phi-\Psi)}= 5.

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