What is the measure of angle XYZ? There is 64 and 152

If the angle is in a triangle, remember that the interior angles of a triangle add up to 180. So, we have 64+152=152. So the angle is not in a triangle.

If the angle is in a quadrilateral (4-sided polygon), then the interior angles add up to 360. It is possible that it is a quadrilateral.

However, I cannot give you an exact answer without the diagram.