Find the value of x for which the figure below is a parallelogram

x = 2

Step-by-step explanation:

Well the diagonals bisect each other.

4x = 8

x = 2

x = 2

Step-by-step explanation:

5x = 3x+4

2x = 4

x = 2

the axial of symmetry

step-by-step explanation:

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.