Question

1. find the value of x.

Explanation:

Step1: Identify the triangle type

Since \(DF = DE = FE\), \(\triangle DFE\) is an equilateral triangle. In an equilateral triangle, all angles are equal.

Step2: Set up the equation

The sum of angles in a triangle is \(180^{\circ}\). So \(6x+6x + 6x=180\).
Simplify the left - hand side: \(18x = 180\).

Step3: Solve for \(x\)

Divide both sides of the equation \(18x = 180\) by \(18\): \(x=\frac{180}{18}\).

Answer:

\(x = 10\)