You're right that neither statement (1) nor (2) are sufficient, so I'll jump to what happens when we combine both pieces of information.

From (1) we can conclude that angleRQS = angleRSQ
From (2) we can conclude that angleTUS = angleTSU

We also know that:
(angleRQS + angleRSQ + angleR) + (angleTUS + angleTSU + angleT) = 360

Here's the big part: angleR + angleT = 90 (since they must add to angleP to get 180 degrees)

So, we can conclude that (angleRQS + angleRSQ) + (angleTUS + angleTSU) = 270

Since angleRQS = angleRSQ and angleTUS = angleTSU, we can say that: angleRSQ + angleTSU = 135

Finally, since angleRSQ + angleTSU + angle X must add to be 180, we can conclude that angle x is 45

So the answer is E