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I am really stuck on a problem that seems simple but I just can't figure it out. The problem goes as follows.

There is a collision between two pucks on an air-hockey table. Puck A has a mass of 0.039 kg and is moving along the x axis with a velocity of +5.5 m/s. It makes a collision with puck B, which has a mass of 0.064 kg and is initially at rest. After the collision, the two pucks fly apart with the angles of 65 deg for A and 37 deg for B.

I know this problem is really basic but i just can't figure it out unless I have one of the final speeds. Despite all of my work I will still end up with 2 variables. I have checked a bunch of examples but every single one them gives the final speed for one the pucks and the TA at my help session doesn't really give any hints as to how to solve this. Any help will be greatly appreciated.

Thank You