Answer
512$^{\circ}$ is in the II quadrant
Work Step by Step
1. Coterminal angles always in the same quadrant with original angle, because of full resolutions (2π)
512° - 360° = 152°
152° - 360° = -208°
1. 90-180 degrees in the second quadrant. Therefore 270$^{\circ}$≤152$^{\circ}$≤360$^{\circ}$ its in the second quadrant