 Hi and welcome to the session, I am Asha and I am going to help you with the following pushing which says, in figure 6.14 lines x, y and m in intersect at o, if angle P of y is equal to 90 degree and a is to b is equal to 2 is to 3, find c. Let us now begin with the solution and here we are given that x, y is a line, this implies angle P of x plus angle P of y is equal to 180 degree since they form a linear film. Now angle P of y is equal to 90 degree, this is given to R as implies that angle P of x equal to 90 degree on taking 90 from the left hand side to the right hand side it will get impacted from 180, the result will be 90 degree. Now angle P of x is sum of x a and b, therefore this can further be written as a plus b is equal to 90 degree linear film. Now a is to b is equal to 2 is to 3, this implies a is equal to 2 of y. 2 upon 5, 5 is the sum of the ratio that is 2 plus 3 into a plus b that is 90 degree this implies a is equal to 36 degrees. Now let us find b, b will be 3 upon 5 of 90 degree which is equal to 54 degree. So a is equal to 36 degree and b is equal to 54 degree. Now since m n is a line, ray o x stands on it, this implies angle m o x plus angle m o x will be equal to 180 degree this is again since they form a linear film. Now m o x will be plus m o x is c which is equal to 180 degree and is 54 degree. So 54 c is equal to 180 degree this implies c is equal to 180 degree minus 54 which is equal to 120 degree thus c is equal to 120 degree this completes the solution. I hope you enjoyed it, take care and bye for now.