Question

two parallel lines are crossed by a transversal
what is the value of b?

Explanation:

Step1: Use the property of same - side interior angles

When two parallel lines \(p\) and \(q\) are cut by a transversal \(m\), \(b\) and \(128^{\circ}\) are same - side interior angles. The sum of same - side interior angles is \(180^{\circ}\). So, \(b + 128^{\circ}=180^{\circ}\).

Step2: Solve for \(b\)

Subtract \(128^{\circ}\) from both sides of the equation \(b + 128^{\circ}=180^{\circ}\).
\(b=180^{\circ}- 128^{\circ}\)
\(b = 52^{\circ}\)

Answer:

\(b = 52\)