Find the value of x if angle x measures 102°

The given problem is a quadrilateral shape. There are 4 angles and sides shown in the problem and the only given angle is X. 

The illustration shows four sides (quad), the stick drawn at the center of each sides describes the relationship of their lengths.

All one stick are equal, and two sticks are also equal.

Given Angles:

X=102 deg
W=(7x+4) deg
Y=(5x-4) deg

Since angle X is 102 degrees, then angle Z is also 102 degrees. The total angle of a quadrilateral is 360 degrees.

So, to find x:

102 + 102 + 7x + 4 + 5x - 4 = 360
x=13