Another geometry question, I know my weakness isn't blatantly obvious or anything
:roll:
[spoiler]answer was c.
My thought process for this was: I needed to know or reduce some combination of equations to come up with ∠RSQ and ∠UST. 1) QR = QS means ∠RQS = ∠RSQ, but can't inform what ∠UST is, so insufficient. 2)ST = TU means ∠TUS = ∠TSU, but doesn't give me any information about ∠RSQ, so also insufficient. Both together, if I make ∠RSQ = y degrees, then ∠PRS = 180-2y, and therefore ∠UTS = 180-90-(180-2y) = 2y-90, and then TSU = (180-(2y-90))/2 = 135-y, since ∠RSQ is already y, then 180-(135-y+y)=x=45 [/spoiler]
My questions are: Is my process right? If it was, it took me at least 6-7 minutes to think about and work through it, are there better ways of approaching the problem where I can grasp whether this is solvable within a more reasonable time frame? Or do I just need more practice?
