 Hello and welcome to the session. I am Deepika here. Let's discuss the question. Find the values of the unknowns X and Y in the given diagram. Now we know that when two lines intersect vertically opposite angles are formed and they are equal. So we have solution is equal to 60 degree vertically opposite angles. So we have found one unknown. Now we know the angles some property of a triangle which says the total measure of the three angles of a triangle is 180 degree. So we have by angles some property of a triangle Y plus 30 degree plus X is equal to 180 degree. This implies Y plus 30 degree plus X is our 60 degree is equal to 180 degree. This implies Y plus 90 degree is equal to 180 degree. This implies Y is equal to 180 degree minus 90 degree that is Y is equal to 90 degree. Hence the answer for the above question is X is equal to 60 degree, Y is equal to 90 degree. I hope the solution is clear to you. Bye and take care.