 Hello and welcome to the session. In this session we discuss the following question which says, in the given figure P O Q is a straight line and the rays O A and O B stand on it if angle P O A is equal to 65 degrees and will Q O B is equal to 70 degrees and angle A O B is equal to x degrees find the value of x. This is the figure given to us in which we have P O Q is a straight line rays O A and O B stand on this line P O Q we are given angle P O A equal to 65 degrees angle Q O B equal to 70 degrees and angle A O B equal to x degrees and we need to find the value of x. We know that if a ray stands on a line then the sum of the adjacent angles so formed is 180 degrees. This is the key idea to be used in this question. Now we move on to the solution. First let's see what all is given to us. In this we have that P O Q is a straight line then angle P O A is equal to 65 degrees angle Q O B is equal to 70 degrees and angle A O B is equal to x degrees and we need to find the value for x. We know that when a ray stands on a line then the sum of the adjacent angles so formed is 180 degrees. So we have angle P O A plus angle A O B plus angle B O Q or Q O B is equal to 180 degrees. Now angle P O A is equal to 65 degrees angle A O B is equal to x degrees and angle B O Q or Q O B is equal to 70 degrees. So we get 65 degrees plus x degrees plus 70 degrees is equal to 180 degrees. This gives us x degrees plus 130 5 degrees is equal to 180 degrees that is we have x degrees is equal to 180 degrees minus 130 5 degrees. This further gives us x degrees is equal to 45 degrees. So we get x is equal to 45. This is our final answer. This completes the session. Hope you have understood the solution for this question.