Question

solve for x.

x =

Explanation:

Step1: Recognize vertical angles

Vertical angles are equal. So, \(53 - 2x=59 - 5x\).

Step2: Solve the equation

Add \(5x\) to both sides: \(53 - 2x+5x=59 - 5x+5x\), which simplifies to \(53 + 3x=59\).
Subtract \(53\) from both sides: \(53 + 3x-53=59 - 53\), getting \(3x = 6\).
Divide both sides by \(3\): \(x=\frac{6}{3}\).

Answer:

\(2\)