MathDB
Turkish NMO First Round - 1999 P-25 (Geometry)

Source:

July 3, 2012
geometry

Problem Statement

\angle BAC \equal{} 80{}^\circ, \left|AB\right| \equal{} \left|AC\right|, K[AB] K\in \left[AB\right], L[AB L\in \left[AB\right., \left|AB\right|^{2} \equal{} \left|AK\right|\cdot \left|AL\right|, \left|BL\right| \equal{} \left|BC\right|, \angle KCB \equal{} ?
<spanclass=latexbold>(A)</span> 20<spanclass=latexbold>(B)</span> 25<spanclass=latexbold>(C)</span> 30<spanclass=latexbold>(D)</span> 35<spanclass=latexbold>(E)</span> 40<span class='latex-bold'>(A)</span>\ 20^\circ \qquad<span class='latex-bold'>(B)</span>\ 25^\circ \qquad<span class='latex-bold'>(C)</span>\ 30^\circ \qquad<span class='latex-bold'>(D)</span>\ 35^\circ \qquad<span class='latex-bold'>(E)</span>\ 40^\circ