The value of x is 4.
What is Similarity?
Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given:
In ΔCDB and ΔEAB
<CDB = <ABE (alternate interior angle)
<DBC = <EAB (alternate interior angle)
By AA similarity criteria
ΔCBD ~ ΔEAB
Now,
EB/ CD= EA/CB
6/x-1 = 4/x-2
6X-12= 4X-4
2x= 8
x=4
Learn more about this similarity here:
https://brainly.com/question/23620576
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