A geometry problem by Chung Kevin

Geometry Level 1

\(ABC\) is a right triangle with \(\angle ACB=90^\circ\). \( M\) is the midpoint of \(AB,\) and \(D\) is a point such that \(MC = MD\) with points \(C\) and \(D\) lying on opposite sides of \(AB,\) as shown in the diagram.

If \( \angle DAB = 40 ^ \circ\), what is \( \angle DCA \)?

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