Final answer:
The question lacks essential information or a diagram to correctly determine the values of the angles involving parallel lines. Normally, angle relationships for parallel lines would be used to solve such a problem, but in this case, the correct choice is option A: Insufficient information.
Step-by-step explanation:
The question presented involves finding the value of missing variables, specifically angles defined by parallel lines. Unfortunately, the provided question lacks the accompanying diagram or additional context, which is crucial for solving such a problem. Normally, when dealing with parallel lines and angles, you might use concepts such as alternate interior angles, corresponding angles, or vertical angles to find the values of unknown angles. These relationships are defined by the fact that the sum of angles in a straight line is 180 degrees and that certain angles are congruent when lines are parallel.
Without additional information, such as a diagram or a description of the angle relationships, it is impossible to determine the value of variables x and y. Thus, the correct choice would be Option A: Insufficient information. A more complete problem statement or a visual representation of the lines and angles in question would be required to provide a specific answer about the values of x and y.