Question

find the value of x.

Explanation:

Step1: Identify triangle type

Triangle \(PQR\) has \(PQ = QR = PR = 8\), so it's equilateral. In an equilateral triangle, all angles are \(60^\circ\). Thus, \(\angle P=(3x - 6)^\circ = 60^\circ\).

Step2: Solve for \(x\)

Set up the equation \(3x - 6 = 60\). Add 6 to both sides: \(3x = 60 + 6 = 66\). Divide by 3: \(x=\frac{66}{3}=22\).

Answer:

\(22\)