To find the angle of the line represented by the equation x + √(3y) = 12 with the positive x-axis, the equation must first be rearranged into the form y = f(x). After isolating y, the slope (dy/dx) can be determined, which is essential for calculating the angle. Without calculus, graphing the function may provide an estimate of the angle at which it intersects the x-axis. The discussion includes multiple-choice options for the angle, suggesting that the correct answer is likely 30 degrees based on the calculations presented. The conversation emphasizes the importance of step-by-step problem-solving to arrive at the correct solution.