Junior Balkan MO 2012


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Dodao: strujabog
29. ožujka 2014.
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Let the circles k_1 and k_2 intersect at two points A and B, and let t be a common tangent of k_1 and k_2 that touches k_1 and k_2 at M and N respectively. If t\perp AM and MN=2AM, evaluate the angle NMB.