Recall that the diagonals of a square bisect each other, therefore:

The diagonals are congruent, therefore:

To compute DA we use the fact that the figure is a square:

Now, we know that the angles at the vertices are right angles, therefore:

To determine the measure of angles ABD, and DCA we use the trigonometric function sine:

Therefore:

Finally, to determine the measure of angle DWA, we use the fact that the figure is a square, therefore the diagonals bisect each other at 90° angles.
Answer:
