 Hi and welcome to the session. I'm Kanika and I'm going to help you to solve the following question. The question says find angles between the lines 2, 3, x plus y is equal to 1 and x plus 2, 3, y is equal to 1. Before solving this question, we should know that a Q angle say theta between lines L1 and L2 having slopes M1 and M2 is given by tan theta is equal to mod of M2 minus M1 upon 1 plus M1 into M2. And the obtuse angle between these two lines can be found out by using 180 degree minus theta. Now begin with the solution. First equation of line is 2, 3, x plus y is equal to 1. Now this implies y is equal to minus root 3, x plus 1. On comparing this equation with y is equal to Mx plus C, we find that its slope is minus root 3. Let's name the slope of this equation by M1. So M1 is equal to minus root 3. Now the second equation of line given to us is x plus root 3 y is equal to 1. Now this implies root 3 y is equal to minus x plus 1. This implies y is equal to minus 1 by root 3 into x plus 1 by root 3. And comparing this equation with y is equal to Mx plus C, we find that slope of this line is minus 1 by root 3. Let's denote the slope of this line by M2. So M2 is equal to minus 1 by root 3. Now we will find the angle theta between these two lines. We know that tan theta is equal to M2 minus M1 upon 1 plus M1 into M2. Now substitute the value of M1 M2 in this formula. Substituting the values we get minus 1 by root 3 minus minus root 3 upon 1 plus minus root 3 into minus 1 by root 3. Now this is equal to minus 1 by root 3 plus root 3 upon 1 plus 1. This is equal to minus 1 plus 3 by root 3 upon 2. This is equal to 2 upon root 3 by 2. And this is equal to mod of 1 by root 3 and this is equal to 1 by root 3. So tan theta is equal to 1 by root 3 and this implies the acute angle theta is equal to 30 degree. Now obtuse angle will be equal to 180 degree minus theta. So this is equal to 180 degree minus 30 degree and this is equal to 150 degree. Hence the required angles between the two given lines are 30 degree and 150 degree. This is our required answer. So this completes the session. Bye and take care.