Advanced Geometric Problem & Solution (Twice a week update) Now 4642 problems posted.
<Tri-2025-2192>, hint
Let D on AB such that ND//AC, then AM=2AD.
Suppose line MN meet line AC at Q. Since MD=AD,DN//AC MN=NQ .
Let line NP perpendicular to MQ, then triangle MPQ is isosceles.
Hence <NPM=<NPQ
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