 So in this question, AB is given to be parallel to CD, so these two lines are parallel and you have to find out the value of X. Now if you look at this picture or the diagram of the lines here, it's very difficult and actually there's no trans-clear cut transversal here, isn't it? So hence if this is not there, we have to do some construction, so hence let's do one thing. What we are going to do is we are going to draw a line parallel to AB and CD passing through E. Okay, so let's do that. So what I'm doing is I will be making a line parallel to AB and CD. You will ask why do I do that? Is this the only method? Not necessary. Also done or you could have also done was you could have produced this and do all geometry and then figure out. But then so you could have produced A to make it our transversal and make produce CD as well. This could also be a possible way of solving it. But then what are we going to do? We are going to draw our transversal or sorry, a line parallel to AB and CD passing through E. Why? Because now the angle X which I have to find out is now sum of two angles, which ones? So if you see this angle is let's say this angle is Y and this angle is Z. Okay, so can I not say that X is equal to Y plus Z? Okay, Y plus Z. And now let's see about Y and so if you see let me put a name here, let's say this is F. So angle. Okay, before that you have to mention that you have you have done a construction and the construction is. What is the construction? Construction is EF parallel to AB parallel to CD. Right? EF is drawn. So you write EF parallel to AB and CD drawn. So therefore angle EAB plus angle AEF will be equal to 180 degrees. Is it it? Why? But adjacent angles, adjacent angles, adjacent angles on a transversal on a transversal or supplementary we studied that, isn't it? So using this particular property we can say EAB is plus AEF is 180 or hence we can say 108 degrees which is EAB plus Y is 180 degrees. So Y clearly is 180 degrees minus 108 degrees which is nothing but 72 degrees. Okay. Similarly, similarly. Okay. What is it? Angle Z plus 112 degrees will be 180 degrees. Same, same, this reason, same reason, right? So hence Z is equal to 180 degrees minus 112 degrees which is nothing but 68 degrees. 68 degrees. So hence what is the final value of X? X is Y plus Z which is 72 degrees plus 68 degrees. Hence it is 140 degrees. So we found out the value of X. Why is this working? X equals to Y plus Z. We initially did this from here. If you say this angle is Y, this angle is Z and this angle was X. So X is Y plus Z. We found out Y and Z. We added them and we got 140 degrees. That's the final answer. Okay. So in such problems, you know, even, you know, let's say it was not very obvious what exactly to do and what should be the approach like. So we did some construction and the construction was we used the fact that EA could be transversal but EA was not transversal to AB and CD. So hence we made a line EF parallel to AB so that EA becomes transversal to AB and EF and EC becomes a transversal to EF and CD and hence we could solve the problem.