Question

what is the value of x?

x =

Explanation:

Step1: Use the congruent triangle property

Since the two triangles are congruent (by the markings of equal sides and included angle), their corresponding sides are equal. So, \(BC = FE\).

Step2: Set up the equation

We know \(BC=x - 4\) and \(FE = 19\). Then the equation is \(x-4=19\).

Step3: Solve the equation

Add \(4\) to both sides of the equation: \(x-4 + 4=19+ 4\).

Answer:

\(x = 23\)