Question

two parallel lines are crossed by a transversal. what is the value of b? b = 32 b = 52 b = 118 b = 128

Explanation:

Step1: Use the property of consecutive interior angles

When two parallel lines \(p\) and \(q\) are cut by a transversal \(m\), consecutive interior angles are supplementary. That is, \(b + 128=180\) (since \(p\parallel q\)).

Step2: Solve for \(b\)

Subtract \(128\) from both sides of the equation \(b + 128=180\). We get \(b=180 - 128\).

Answer:

\(b = 52\)