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 \(Y\parallel Z\), we can use the property that consecutive interior angles are supplementary.

Step2: Set up the equation

The angle of \(104^{\circ}\) and \(x^{\circ}\) are consecutive interior angles. So, \(x + 104=180\).

Step3: Solve for \(x\)

Subtract \(104\) from both sides of the equation: \(x=180 - 104\).

Answer:

\(76\)