To solve for the original vectors given the net force's angle and magnitude, decompose the net force into its components. Since the original forces are concurrent and their angles are known, set up a system of equations based on the components of the forces. The number of equations will match the number of components, allowing for the calculation of the magnitudes of the original forces. This method effectively utilizes vector decomposition to find the required magnitudes. Understanding the relationships between the forces is crucial for accurate calculations.