MathDB
JBMO TST Moldova Problem 6

Source:

October 15, 2020
geometryInscribed circlecyclic quadrilateral

Problem Statement

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.
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