By the way the question is asked, I assume that none of the sums land on an axis.
The easist way to do this is to assign values to each of the complex numbers, such as:
z1 = 1 + 5i z2 = -4 - i z3 = -3 + 4i z4 = 5 - 3i
and then find each of the sums, locating the quadrant that contains each of the sums.