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Turkey NMO 2007 1st Round - P29 (Geometry)

Source:

October 5, 2012
geometryrotationanalytic geometrygraphing linesslope

Problem Statement

Let MM and NN be points on the sides BCBC and CDCD, respectively, of a square ABCDABCD. If ∣BM∣=21|BM|=21, ∣DN∣=4|DN|=4, and ∣NC∣=24|NC|=24, what is m(MAN^)m(\widehat{MAN})?
<spanclass=′latex−bold′>(A)</span> 15∘<spanclass=′latex−bold′>(B)</span> 30∘<spanclass=′latex−bold′>(C)</span> 37∘<spanclass=′latex−bold′>(D)</span> 45∘<spanclass=′latex−bold′>(E)</span> 60∘ <span class='latex-bold'>(A)</span>\ 15^\circ \qquad<span class='latex-bold'>(B)</span>\ 30^\circ \qquad<span class='latex-bold'>(C)</span>\ 37^\circ \qquad<span class='latex-bold'>(D)</span>\ 45^\circ \qquad<span class='latex-bold'>(E)</span>\ 60^\circ
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