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\(ABC\) is a right triangle with \(\angle C=90^\circ\). \( M\) 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 \( \angle DCA \)?

In a simple decagon (10-sided polygon with no self-intersections), what is the maximum number of internal angles that could be acute?

For example, the above image shows 6 acute angles, marked in blue.

Determine the value of \(x\).

What is the average of all the angles (in degrees) on this line?

**Note:** Count only angles at the marked points, ignoring the locations where the line crosses itself. At each point pick the "internal" angle, the one that is less than \(180^\circ\).

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