 Hi and welcome to the session. I am Asha and I am going to help you with the following portion that says, in figure 6.1 kite angle PQR is equal to angle PRT. It proves that angle PQS is equal to PRT. So we are given that angle PQR is equal to angle PRT and we have to prove that angle PQS is equal to angle PRT. So let us begin with the solution and we are given that angle PQR is equal to angle PRT and we have to prove that angle PQS is equal to angle PRT. As we can see from the figure SR is the line PQ stands on it, this implies that angle PQS plus angle PQR is equal to 180 degree. Let this be equation number 1 and the sum of these two angles is 180 degree since they form a linear pair. Also TQ is the line PQ stands on it, this implies sum of angles PRT is equal to 180 degree and let this be equation number 2 and the sum of these two angles is 180 degree since they form a linear pair. Now from 1 and 2 on comparing we find that the right hand side of both the equations are equal so this implies angle PQS plus angle PQR is equal to angle PRT plus angle PRT. This is because right hand side are equal this will imply that left hand side of both the equations are also equal. Now we are given that angle PQR is equal to angle PRT so on replacing PQR by PQR we have this equation that is we have replaced angle PQR by angle PRT since both the angles are equal. Now on subtracting angle PRT on both sides we get angle PQS plus angle PRT minus PRQ is equal to angle PRT plus angle PRT minus angle PRT. Now these two angles cancels out and we are left with angle PQS is equal to angle PRT. Thus we have angle PQS equal to angle PRT which we have to prove as this angle is equal to this angle. So this completes the session hope you enjoyed it take care and bye for now.