Question

given ( mparallel n ), find the value of ( x ).

Explanation:

Step1: Set up the equation

Since \(m\parallel n\), the angles \((6x + 29)^{\circ}\) and \((8x-7)^{\circ}\) are congruent (corresponding angles). So, \(6x+29 = 8x - 7\).

Step2: Solve for \(x\)

Subtract \(6x\) from both sides: \(29=2x - 7\).
Add \(7\) to both sides: \(36 = 2x\).
Divide both sides by \(2\): \(x=\frac{36}{2}=18\).

Answer:

\(18\)