Particular Pentagon Point

Geometry Level 5

The point MM lies inside regular pentagon ABCDEABCDE such that MBA=MEA=42\angle MBA = \angle MEA = 42^{\circ}. Find DMC\angle DMC.

The above image is not drawn to scale.
ABMEABME need not be a parallelogram.
BMDBMD and EMCEMC need not be straight lines.


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