Question

two parallel lines are crossed by a transversal. what is the value of y? ○ y=40 ○ y=80 ○ y=100 ○ y=120

Explanation:

Step1: Identify the angle relationship

When two parallel lines are cut by a transversal, alternate interior angles are equal. Also, vertical angles are equal. The \(80^\circ\) angle and \(y^\circ\) angle are alternate interior angles (or can be related through vertical angles and parallel line properties), so they should be equal.

Step2: Determine the value of \(y\)

Since the angle of \(80^\circ\) and \(y^\circ\) are equal (due to parallel lines and transversal angle relationships), we have \(y = 80\).

Answer:

\(y = 80\) (corresponding to the option \(y = 80\))