Final answer:
The angle θ = 395 lies in the fourth quadrant of the Cartesian coordinate system.
Step-by-step explanation:
The angle θ = 395 lies in the fourth quadrant. In the Cartesian coordinate system, the quadrants are divided by the x-axis and y-axis. The first quadrant is in the upper right, the second quadrant is in the upper left, the third quadrant is in the lower left, and the fourth quadrant is in the lower right. Since 395 degrees is greater than 360 degrees, it is equivalent to 395 - 360 = 35 degrees. The reference angle is 35 degrees, which lies in the fourth quadrant.