Now, because the sum of angles on a straight line is equal to 180 degrees, we can re-draw the given diagram as follows:
Now, we have labelled the diagram adequately, and this helps us to see that the triangle ABC has been divided into two: triangles ABD and BDC
Generally, the larger the angle in a triangle, the longer the side that is directly opposite the angle.
Thus, since the side BC (y), is directly opposite the 95 degree angle of triangle BDC, and the side AB (x), is directly opposite the 85 degree angle
Therefore, since x is opposite a smaller angle compared to y, we expect that x should be smaller than y.
Thus, the answer is x < y