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C. 1295. The angles at vertices $\displaystyle C$ and $\displaystyle D$ of a quadrilateral $\displaystyle ABCD$ are equal, and the intersection $\displaystyle E$ of the interior angle bisectors drawn at vertices $\displaystyle A$ and $\displaystyle B$ lies on the side $\displaystyle CD$. Prove that $\displaystyle E$ bisects side $\displaystyle CD$.

(5 points)

This problem is for grade 1 - 10 students only.

Deadline expired on 10 June 2015.

Statistics on problem C. 1295.
 58 students sent a solution. 5 points: 52 students. 3 points: 2 students. 1 point: 2 students. 0 point: 2 students.

• Problems in Mathematics of KöMaL, May 2015

•  Támogatóink: Morgan Stanley