The two horizontal lines are parallel ( This is given by the red triangles)
Because the lines are parallel, the two angles 1 & 2 would be the same.
Set the two equations for the angle to equal each other and solve:
8y-6 = 7y
Add 6 to each side:
8y = 7y+6
Subtract 7y from each side:
y = 6
Now you have the value for y, solve for angle 2 by replacing y with 6:
Angle 2 = 7y = 7(6) = 42 degrees.
