X = 180 - (The 3rd angle + 52 degrees)
Im not sure how the rest of those angles work.
y is 104 degrees, as the required angle is the angle subtended by the cord
at the centre of the circle, which subtends an angle of 52 degrees from a
point on the circumference.
Also it looks to me as though there is insufficient information to determine
the other angles without further information.
RonL