In the figure below, statements (1) x = q and (2) y = p are satisfied. Still, lines l and m intersect and
therefore are not parallel.
Now, consider the figure below, where each of the angles x, y, p, and q equals 90°. Here, the statements are
satisfied and lines l and m are parallel.
Since we have a double case, the statements together are not sufficient. Hence, the answer is (E).