Question

find the value of x.
need help?

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked by ticks on \(AC\) and the other side), and angle \(C = 60^\circ\). So, it's an equilateral triangle (since a triangle with two equal sides and a \(60^\circ\) angle is equilateral), meaning all sides are equal. Thus, \(2x - 1 = 3x - 7\).

Step2: Solve for \(x\)

Subtract \(2x\) from both sides: \( - 1 = x - 7\).
Add 7 to both sides: \(x = 6\).

Answer:

\(x = 6\)