To find x:
Triangles are in total 180 degrees. The two triangles are basically 1 triangle split in half. If the triangle share the same side, has similar angles (shown by the curves on both sides at the top(Angle BAC and CAB), and has similar sides(shown by the hashes made in the lines AC & AB), you can conclude 'x' as a 90 degree angle.
To find y:
The measurment of the angle DCA is 47 degrees. For x, we concluded the answer to be 90 degrees, making the other side of the line 90 degrees as well.Since a triangle is 180 degrees, we can add 47 and 90 to get 137. Taking that answer, we subtract it from the value of 180 degrees to get 43 degrees. So y equals 43.