TST III 2009, Problema 1

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Laurian Filip
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TST III 2009, Problema 1

Post by Laurian Filip »

Fie ABCD un patrulater circumscriptibil in care AB si CD se intersecteaza in M, AC si BD se intersecteaza in N. Stiind ca AD > max{AB,BC,CD}, aratati ca
\( 90^{\circ}<m(\angle AND) < 90^{\circ}+\frac{1}{2}m(\angle AMD). \)
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