Question

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

Explanation:

Step1: Use the property of consecutive interior angles

Since \(m\parallel n\), the sum of \((10x - 13)^{\circ}\) and \((9x + 1)^{\circ}\) is \(180^{\circ}\). So, \(10x-13 + 9x + 1=180\).

Step2: Simplify the equation

Combine like - terms: \(19x-12 = 180\).

Step3: Solve for \(x\)

Add \(12\) to both sides: \(19x=192\). Then divide both sides by \(19\): \(x = 12\).

Answer:

\(x = 12\)