Answer
-61$^{\circ}$ in the IV quadrant
Work Step by Step
1. Coterminal angles always in the same quadrant with original angle, because of full resolutions (2π)
-61° + 360° = 299°
-61° - 360° = -421°
2. 270-360 degrees in the fourth quadrant. Therefore 270$^{\circ}$≤299$^{\circ}$≤360$^{\circ}$ its in the fourth quadrant