I'm currently studying for a test in Grade 8 Honours Math (Grade 9). We have some questions involving Circle Geometry, but I'm having trouble here:
You see, I know the value of w due to it being an isosceles triangle, but I'm not sure how this relates to Angle x.
Many Thanks,
Alex

X must be a right angle because it faces a $180°$ arc. Therefore, $z=180-90-25=65°$.
What you have is correct. You know that y must be $90°$ because it also faces an $180°$ arc, and because triangle ACD is isosceles, W must be $\frac{180-90}{2}$ or $45°$.