Question

in the figure below, we have ( w parallel x ) and ( y parallel z ). what is the value of ( x ) based on the following angles?

Explanation:

Step1: Use the property of parallel lines

Since \(W\parallel X\) and \(Y\parallel Z\), the angle \(x\) and the \(58^{\circ}\) angle are supplementary (consecutive interior angles).

Step2: Set up the equation

\(x + 58=180\)

Step3: Solve for \(x\)

\(x=180 - 58\)
\(x = 122\)

Answer:

\(122\)