The values of x and y in the given diagram is:
x = 4
y = 10
How to find the values?
We need to remember that two adjacent angles always add up to 180, then we can write:
(29x - 3) + (15x + 7) = 180
29x + 15x - 3 + 7 = 180
44x + 4 = 180
44x = 180 - 4
44x = 176
x = 176/44
x = 4
Now, if l and m are parallel, then the angles (15x + 7) and (13y - 17) also should add up to 180, then we can write:
(15x + 7) + (13y - 17) = 180
replacing x = 4
(15*4 + 7) + (13y - 17) = 180
67 - 17 + 13y = 180
50 + 13y = 180
13y = 180 - 50 = 130
y = 130/13
y = 10