This angle lies in the fourth quadrant because tangent is negative ther

The statement seems to be incomplete, but I'll try to provide an explanation based on what you've given.

In the Cartesian coordinate system, the plane is divided into four quadrants. The sign of the trigonometric functions (sine, cosine, tangent) depends on the quadrant in which the angle lies.

1. In the first quadrant (0 to 90 degrees), all trigonometric functions are positive.
2. In the second quadrant (90 to 180 degrees), only sine is positive.
3. In the third quadrant (180 to 270 degrees), only tangent is positive.
4. In the fourth quadrant (270 to 360 degrees), only cosine is positive.

So, if the tangent of an angle is negative, it means that the angle is either in the second quadrant or the fourth quadrant. However, without additional information, we can't definitively say which quadrant the angle is in.