First of all, the two statements are identical (if one angle is 30 degrees, then the other two will obviously add up to 150). So there are only two choices: either D or E.
Now, statement 1 tells us, basically, that whatever the angle RPS is of the smaller triangle (points PRS), the QPS angle of the larger triangle (points PQS) is that plus 30 degrees. That means that PQR must be less than PRS also by 30 degrees (since both are right triangles and their unknown angles add up to 90 degrees). So, it's sufficient.
Since statement 2 is identical to statement 1, it is also sufficient.
