IMO Shortlist 1985 problem 20
Dodao/la:
arhiva2. travnja 2012. A circle whose center is on the side
![ED](/media/m/a/9/d/a9dbf3cf0c36873f1d7cda2d0cc26467.png)
of the cyclic quadrilateral
![BCDE](/media/m/e/a/1/ea11e6a76c0cc7810580485f97646b71.png)
touches the other three sides. Prove that
%V0
A circle whose center is on the side $ED$ of the cyclic quadrilateral $BCDE$ touches the other three sides. Prove that $EB+CD = ED.$
Izvor: Međunarodna matematička olimpijada, shortlist 1985