<p>A ball of mass 10 kg moving with a velocity&nbsp;<span class="equation">\( 10\sqrt{3}ms^{-1}\)</span>&nbsp;along X-axis, hits another ball of mass 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 10 m/s. The second piece starts moving at a speed of 20 m/s at an angle&nbsp;<span class="equation">\(\theta\)</span>&nbsp;(degree) with respect to the X-axis.</p>

<p>The configuration of pieces after collision is shown in the figure.</p>

<p>The value of&nbsp;<span class="equation">\(\theta\)</span>​​​​​​​&nbsp;to the nearest integer is ____________.</p>

<p><img alt="" src="https://school.achievam.com/upload/questionbank/question/que_1759550384.PNG" style="height:140px; width:164px" />​​​​​​​</p>