If the door slides 2 feet the door is moved the same distance and in the same direction so the door doen't chage the size or shape. Then, in order to answer the question, we need to find the measure of the angles P and R. Since the figure shows a parallelogram then angle P and R are congruent. This means that

or equivalently,

So by subtracting 10x to both sides, we have

and by subtracting 8 to both sides, we get

Then x is given by

Then, the measure of angles P ang R are

We also know that consecutive angles are supplementary, this means that

Therefore, we have that

Finally, since segment PQ and SR are parallel and PS and QR are parallel each other, the answers are:

which correspond to the first and second options from top to bottom.