Question

find the value of x.

Explanation:

Step1: Identify the triangle type

Since one angle is \(60^{\circ}\) and two sides are equal (marked with the same tick), it is an equilateral triangle. In an equilateral triangle, all sides are equal. So, \(3x + 8=4x - 4\).

Step2: Solve the equation

Subtract \(3x\) from both sides: \(3x+8 - 3x=4x - 4-3x\), which simplifies to \(8=x - 4\).
Then add \(4\) to both sides: \(8 + 4=x-4 + 4\), so \(x = 12\).

Answer:

\(12\)