First, we need to understand that these two triangles are
similar.
we know this because their lines (the arrows) prove they are the same direction. A similar triangle does
NOT mean they are proportional,
they are just similar by ratio.
Lets call the triangle on the left ABC and the triangle on the right A'B'C'.
I will attach an image of the labels.
Because they are similar triangles, angle A is the same as angle A'. Angle B is the same as angle B', angle C is the same as angle C'.
Based on that information, we know xº is = 65º. We know that the interior angles add up to 180º. So for triangle A'B'C', we can do 180º-40º-65º which is 70º. This means angle C' is 70º.
Now the important part is getting yº. A line is 180º. That means that 180º-70º=yº which is 110º.
If you do not understand anything, please let me know and I will try to teach you.