Question

what is the value of x? enter your answer in the box. $x=square$

Explanation:

Step1: Set up the equation

Vertical angles are equal. So, \(2x + 2=3x - 52\).

Step2: Solve for \(x\)

Subtract \(2x\) from both sides: \(2x+2 - 2x=3x - 52-2x\), which simplifies to \(2=x - 52\).
Then add \(52\) to both sides: \(2 + 52=x-52 + 52\).

Answer:

\(x = 54\)