Question

examples 3 and 4

1. find the value of x.

3x + 8
60°
4x - 4

Explanation:

Step1: Identify the triangle type

Since two sides are marked as equal, it is an equilateral triangle (all angles are \(60^{\circ}\) and all sides are equal). So \(3x + 8=4x - 4\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides:
\(3x+8 - 3x=4x - 4-3x\)
\(8=x - 4\)
Add \(4\) to both sides:
\(8 + 4=x-4 + 4\)
\(x = 12\)

Answer:

\(x = 12\)