The required value of x is 12
Data from the picture
ABCD≈FECG
AB = x FG= 4
BC = 10 EF = 6
EC = 5
Quadrilateral is four sided shape as given in the picture in question.
Since ABCD is congruent to FECG
by property
AB/EF = BC/EC
= x/6=10/5
x = 2 x 6
x = 12
Thus, the required value of x = 12.
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