Question

use the figure to find the value of x.

Explanation:

Step1: Identify the triangle type

The triangle is equilateral (all sides equal implies all angles equal).

Step2: Set up the equation

Since each angle in an equilateral triangle is \(60^{\circ}\), we have \(8x - 12=60\).

Step3: Solve for \(x\)

Add \(12\) to both sides: \(8x=60 + 12\), so \(8x=72\).
Divide both sides by \(8\): \(x=\frac{72}{8}\).

Answer:

\(9\)