After a completely inelastic collision two objects of the same mass and the same initial speed are found to move away together at 1/2 thier initial speed. Find the angle bewteen the initial velocitie of the objects?

Can you please show me the step to solve this problem? I am really confused. I think I would use the conservation of momentum but can you show me how to solve this? Thanks for the help.

From the conservation of momentum, the angles are equal from the direction of the moving mass after reaction. Now, then in the direction of the final direction...

2mcosTheta*v= (m+m)v/2
solve for theta.