
notice the equations in slope-intercept form, the first one has a slope of -1, the second one has a slope of 1.
if the slopes are equal, and the constant is different, they lines are parallel.
if the slopes are equal, and the constant is the same the equations are exactly the same thing, and the lines are coincident, on slapped on top of the other.
if the slopes differ, like here, then they have a solution, where they
intersect.
It is no. You need to figure out the missing angles. You can take 97 and 35 from the yellow triangle and add them up to equal 132. Take 180 and subtract 132 to find the missing angle, which would be 48. The angle 48 compares to the 47 in the green triangle. Since they are not the same, they are not similar.