In the discussion about elastic collisions between two different masses, participants emphasize the conservation of momentum as a vector quantity, requiring separate equations for the x and y components. The angle θ2 is derived from the relationship with θ1, where θ1 is calculated as tan⁻¹(2), leading to θ2 being 90° - θ1. However, it is clarified that the angles do not necessarily add up to 90° unless the masses are equal. The need for using both px and py equations is confirmed to solve the problem accurately. Understanding these principles is crucial for solving elastic collision problems effectively.