Find the slope of the line which is drawn from the origin through (9, -2). The terminal side of the angle will lie quadrant IV. The slope is -2/9.
Now use the inverse tangent (arctan) of -2/9 to find the angle the line makes with the x-axis. In this case, it's about -12.5 degrees if we rotate theta in a clockwise direction. From the initial side to the terminal side rotating in a counterclockwise direction we arrive at -12.5 + 360 = 347.5 or approximately 348 degrees.