On coordinate axes remember that for angle x , 0<x<pi/2 , x is in I quadrant; pi/2<x<pi , x is in II quadrant; pi<x<3pi /2, x is in III quadrant; and 3pi/2<x<2pi , x is in IV quadrant;
Another thing we need to remember is that angle is measured positive when measure anticlockwise and negative when measured clockwise.
Even when an angle is given as negative we can change into positive, e.g., angle x = - 32/7 pi = -6pi + 10pi/7 since even multiples ( positive or negative ) of pi take the terminating line to coincide with the positive x axis we are at the starting point.
Thus we will have x = - 32/7 pi = -6pi + 10pi/7 the same as angle x = 10pi/7
It is just as simple as that