After perfectly inelastic collision between two identical particles moving with same speed in different directions

After perfectly inelastic collision between two identical particles moving with same speed in different directions, the speed of the particles becomes half the initial speed. The angle between the two before collision is :

a) 60 degree
b) 120 degree
c) 90 degree
d) 45 degree

120 degree is the right answer.

Check out the solution below :

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