The value of x is 7 units.
What is Triangle?
A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as △PQR.
Here, In ΔABE and ΔDCE
∠ABE = ∠DCE { each 90⁰ }
∠AEB = ∠CED { vertically opposite angle}
By AA similarity, we get
ΔABE ≈ ΔDCE
Now, AB/CD = BE/CE
(2x-2)/3x = 8/(8+6)
14(2x-2) = 3x(8)
28x - 28 = 24x
28x - 24x = 28
4x = 28
x = 7
Thus, the value of x is 7 units.
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