Solve for x, given that AB ≅ BC.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is ~
[tex] \boxed{5}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
As it's given that AB = BC, so let's plug the value of AB and BC in terms of x and equate them to solve for x ~
that is ~
Answer:
See below for answer.
Step-by-step explanation:
AB ≅ BC Given
2x - 1 = x + 4 Definition of congruent
-x = -x
x - 1 = 4 Add -x to both side of the equation
+1 = +1 Add 1 to both sides of the equation
x = 5