Question

find the value of x
x =

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. So, \(120^{\circ}=(2x - 10)^{\circ}\)

Step2: Solve the equation for \(x\)

Add \(10\) to both sides of the equation: \(120 + 10=2x-10 + 10\), which simplifies to \(130 = 2x\).
Then divide both sides by \(2\): \(x=\frac{130}{2}\)

Answer:

\(x = 65\)