Line L is Parallel to Line M. Find the value of x and y (pls help asap)

Answer:
x = 9 and y = 13
Step-by-step explanation:
10x - 17 and 8x + 1 are Alternate Exterior angles so they equal the same.
So we are going make them equal each other.
10x - 17 = 8x + 1 ( plus 17 on both sides)
10x = 8x + 18 (subtract 8x on both sides)
2x = 18 (divide by 2)
x = 9
PLUG IN 8(9) + 1 = 73 so...
6y + 29 + 73 = 180 (two angle next to each other have to equal 180)
6y + 102 = 180 ( subtract 102 on both sides)
6y = 68 (divide by 6 on both sides)
y = 13
PLUG IN
6(13) + 29 = 107