What measures for side AB and side BC would make the shape a parallelogram?

What values for x and y would be needed to make the shape a parallelogram?

What angle measurements would make this shape a parallelogram?

Given that all the quadrilaterals shown are parallelograms, prove that sides AB[math]\cong[/math]GH

Your job is shutting down for a few weeks for renovations. They keep you on the payroll by giving you jobs assisting in the project. Today the job is to paint the lines in the parking lot. In this particular lot the spaces are angled. Regulations state that the dimensions for each space must allow for at least 8.5 feet width and 18 feet length for each vehicle. Each parking space needs to be a parallelogram. Give at least two ways to check that the spaces are all parallelograms that are large enough to be effective.