Question

solve for x. x =

Explanation:

Step1: Use the property of alternate exterior angles

Since the two vertical lines are parallel, the angles \((5x + 29)^{\circ}\) and \((9x - 7)^{\circ}\) are equal. So we can set up the equation \(5x+29 = 9x - 7\).

Step2: Solve the equation for \(x\)

Subtract \(5x\) from both sides: \(29=9x - 5x-7\), which simplifies to \(29 = 4x-7\).
Add \(7\) to both sides: \(29 + 7=4x\), so \(36 = 4x\).
Divide both sides by \(4\): \(x=\frac{36}{4}=9\).

Answer:

\(9\)