Final answer:
The solution for x in a parallelogram EFGD requires known side lengths or angle measures, which are not provided in the question. The properties of parallelograms indicate that opposite angles are equal, and consecutive angles are supplementary.
Step-by-step explanation:
The question is asking to solve for x in a parallelogram EFGD and find the measurements of ∠E and ∠D. You provided a series of scenarios and equations related to vectors and trigonometry, but they don't specifically relate to a given value for sides or angles in the parallelogram. To solve for x and find the angles, we need the lengths of the sides or the measures of the angles in EFGD.
Without this information, we cannot create an equation or solve for x. Typically, to solve for angles in a parallelogram, you could use the properties of parallelograms that opposite angles are equal, and consecutive angles are supplementary (sum to 180 degrees). For example, if ∠E was given as 60 degrees, then ∠D would also be 60 degrees since EFGD is a parallelogram and opposite angles are equal. However, no angles or side lengths are provided for EFGD.