Question

solve for x. x =

Explanation:

Step1: Use the property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are supplementary. Here, \( \angle NRS\) and \( \angle PSR\) are corresponding angles. So, \((134 - 2x)+(140 - 5x)=180\)

Step2: Simplify the equation

Combine like - terms: \(134+140-2x - 5x=180\), which is \(274-7x = 180\)

Step3: Solve for \(x\)

Subtract 274 from both sides: \(-7x=180 - 274\), so \(-7x=-94\). Then divide both sides by \(-7\): \(x = 12\)

Answer:

\(x = 12\)