Particular Pentagon Point

Geometry Level 5

The point \(M\) lies inside regular pentagon \(ABCDE\) such that \(\angle MBA = \angle MEA = 42^{\circ}\). Find \(\angle DMC\).

The above image is not drawn to scale.
\(ABME\) need not be a parallelogram.
\(BMD\) and \(EMC\) need not be straight lines.

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