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Problem of the Day #192: Describe the Triangle September 27, 2011

Posted by Saketh in : potd , trackback

Line segment $DE$ is drawn parallel to side $AC$ of equilateral triangle $ABC$, intersecting $AB$ at $D$ and $BC$ at $E$. Point $Z$ is the centroid of triangle $BDE$, and $Y$ is the midpoint of $AE$. Determine the measures of the angles of triangle $CYZ$.

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