The value of x = 2.
What is parallelogram?
A parallelogram exists as a quadrilateral with opposite sides parallel (and thus opposite angles equivalent). A parallelogram exists as a two-dimensional geometrical shape, whose sides exist parallel to each other. It exists a kind of polygon containing four sides (also named quadrilateral), where the pair of parallel sides exist equal in length. The Sum of adjacent angles of a parallelogram exists equal to 180 degrees.
Let, the figure PQRS exists a parallelogram, then opposite sides are congruent, that is
PQ = RS
Where, PQ = 6x + 2 and
RS = 12 + x
Substituting the values
6x + 2 = 12 + x
subtract x from both sides
6x + 2 - x = 12 + x - x
5x + 2 = 12
subtract 2 from both sides
5x + 2 - 2 = 12 - 2
5x = 10
Divide both sides by 5,
x/5 = 10/5
x = 2
The value of x = 2.
Therefore, the correct answer is option D. 2.
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