A ball of mass 10kg moving with a velocity 10 3 ms ^ - 1 along X...

A ball of mass $10kg$ moving with a velocity $10\sqrt{3}{ms}^{- 1}$ along $X$-axis, hits another ball of mass $20kg$ which is at rest. After the 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 $10m{s}^{- 1}$. The second piece starts moving at a speed of $20m{s}^{- 1}$ at an angle $\theta$ (degree) with respect to the $X$-axis. The configuration of pieces after the collision is shown in the figure. The value of $\theta$ to the nearest integer is _________.