Question

two parallel lines are crossed by a transversal. what is the value of y? y=30, y=50, y=110, y=130

Explanation:

Step1: Identify angle relationship

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary (sum to \(180^\circ\)). The \(50^\circ\) angle and \(y^\circ\) are consecutive interior angles.

Step2: Set up equation

\(50 + y = 180\)

Step3: Solve for y

\(y = 180 - 50 = 130\)

Answer:

\(y = 130\) (corresponding to the option \(y = 130\))