(1) since the horizontal lines are parallel, and you know the vertical intersecting line crosses at right angle, it must be that the two angles with variable x sum up to 90 degrees. So same rewritten as an equation:
x+8+6x-58 = 90
7x = 140
x = 20 (degrees)
(2) here you have two variable so you will need to find two equations.
The first one comes from the triangle and its angles summing up to 180:
63 + (3x+45) + (y-6) = 180
The second one comes from the fact that the two horizontal lines are parallel and so the angles (7x-7) and (3x+45) must be the same:
7x-7=3x+45
Let's solve the last one first:
4x = 52
x = 13
then plug this solution into the first equation and solve for y
63 + (3x+45) + (y-6) = 180
3x + y = 78
y = 78-39 = 39
so the value of y is 39 (degrees)
