It lies in quadrant III. If we subtract 360 from 570, then we know that 570° is the same as 210°. Remember that quadrant I has 0-90, II had 90-180, III had 180-270, and IV has 270-360. Then, 570 lies in quadrant III because the corresponding angle, 210, lies in quadrant III between 180 and 270. Hope this helps. :)
