Line 1 and 2 are parallel to each other, so the angles would be the same.
Set angle 1 and angle 2 equal to each other and solve:
8y-6 = 7y
Add 6 to both sides:
8y = 7y +6
Subtract 7y from both sides:
y = 6
Now replace Y in the equation for angle 2 and solve:
Angle 2 = 7y = 7(6) = 42 degrees