Advanced Geometric Problem & Solution (Twice a week update) Now 4503 problems posted.
<Tri-2024-2140>, hint
Let M be the midpoint of AB and line MN cuts circle of diameter AB at Y
Since MN//BC NY//BC. <AYB=90, YM=BM <MBY=<MYB=<YBC (YM//BC)
BY is the angle bisector of <ABC
Hence Y=X.
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