Centre of Mass and Collision Part 1

A ball of mass 10kg moving with a velocity 10√3ms−1 along X-axis, hits another ball of mass 20kg, which is at rest. After collision, the first ball comes to rest and the second one disintegrates into two equal pieces. One of the pieces starts moving along Y-axis at a speed of 10m∕s. The second piece starts moving at a speed of 20m∕s at an angle θ (degree) with respect to the X-axis. The configuration of pieces after collision is shown in the figure. The value of θ to the nearest integer is