GMAT PREP DS?
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This one has been discussed in the forum many times before. But in case u have ur exam soon here is the short ans
With statement 1 & 2 combined u have the following info
angle rqs = angle rsq = z
so angle qrs = 180 - 2z
the same with the other triangle
angle tsu = angle tus = y
so angle rtu = 180 - 2y
also since angle qrs and angle rtu are parts of the bigger rt angle triangle the two together = 90
so 180 - 2y + 180 - 2z = 90
solve to get the value of z+y
now u see (pls use figure ) x + y + z = 180
since u now know value of y+z u get the value of anlge x
With statement 1 & 2 combined u have the following info
angle rqs = angle rsq = z
so angle qrs = 180 - 2z
the same with the other triangle
angle tsu = angle tus = y
so angle rtu = 180 - 2y
also since angle qrs and angle rtu are parts of the bigger rt angle triangle the two together = 90
so 180 - 2y + 180 - 2z = 90
solve to get the value of z+y
now u see (pls use figure ) x + y + z = 180
since u now know value of y+z u get the value of anlge x