 Hello and welcome to the session. In this session we discuss the following question that says in the given figure angle m is equal to angle n is equal to 46 degrees x plus x in terms of a, b and c where a, b and c are lengths of lm, mn and nk respectively. Before we move on to the solution let's recall the a, a similarity criterion. According to this we have that if in two triangles, two angles of one triangle are respectively equal to the two angles of the other triangle, the two triangles are similar. This is the key idea that we use for this question. Let's move on to the solution now. Consider this figure. Let's see what all is given to us in this figure. We have angle m is equal to angle n equal to 46 degrees then lm is equal to a, mn is equal to b and nk is equal to c and also pn is equal to x and we have to express x in terms of a, b and c. Consider the triangles k, m, n is equal to angle n which is equal to 46 degrees. This is already given to us. Angle nkl is equal to angle nkp since this is the common angle to both the triangles. So therefore we say that triangle kml is similar to the triangle knp using the a, a similarity criterion stated in the key idea. Now since both these triangles are similar, two sides would be proportional, proportional. Now we have ml upon is equal to km upon kn is equal to kn upon kp. Let's consider the first two. Substituting the values for ml, knp, km and kn we have is equal to b plus c upon this means we have ac is equal to x into b plus c which gives us x is equal to ac upon b plus. So we have expressed x in terms of a, b and c. So this is our final answer. This completes the session. Hope you have understood the solution of this question.