Final answer:
The values of x and y in the diagram cannot be determined based on the given information.
Step-by-step explanation:
To find the values of x and y in the given diagram, we can start by analyzing the angles formed by the straight lines EFJ and HEG. Let's represent the angles as x and y, respectively.
Since EFJ and HEG are straight lines, the sum of the angles in each triangle is 180 degrees. This means that we can write the following equations: x + 90 + y = 180 and x + 63 + 90 + y = 180. Simplifying these equations, we get: x + y = 90 and x + y = 27.
These two equations are contradictory, which means that there is no solution for x and y that satisfy both equations. Therefore, the correct answer is none of the given options.