A ball of mass 10 kg moving with a velocity 10 √ 3 m s^-1 along X -axis, hits another ball of mass 20 kg which is at rest. After collision, the first…

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