Question

two parallel lines are crossed by a transversal. what is the value of x? x = 40 x = 70 x = 110 x = 130

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, the adjacent angles formed are supplementary. That is, \(x + 70=180\) (because they form a linear pair).

Step2: Solve for \(x\)

Subtract \(70\) from both sides of the equation \(x + 70=180\).
\(x=180 - 70\)
\(x = 110\)

Answer:

\(x = 110\) (corresponding to the third option in the given choices)