MathDB

6

Part of 2020 Junior Balkan Team Selection Tests - Moldova

Problems(1)

JBMO TST Moldova Problem 6

Source:

10/15/2020
The inscribed circle inside triangle ABCABC intersects side ABAB in DD. The inscribed circle inside triangle ADCADC intersects sides ADAD in PP and ACAC in QQ.The inscribed circle inside triangle BDCBDC intersects sides BCBC in MM and BDBD in NN. Prove that P,Q,M,NP , Q, M, N are cyclic.
geometryInscribed circlecyclic quadrilateral