Remark
The easiest one to start with is the solution to y. The angle that is supplementary to 6y is a 90o angle. You could do this 2 ways.
Supplementary angles add up to 180o.
So 6y + 90 = 180 Subtract 90 from both sides.
6y + 90 - 90 = 180 - 90
6y = 90 Divide by 6
6y = 90 / 6
y = 15
Solve for x
Interior angles created by a transversal cutting 2 parallel lines also add to 180o
That means that 100 + x = 180 Subtract 100 from both sides.
100 + x - 100 = 180 - 100
x = 80 degrees.