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: Recall the property of alternate interior angles

When two parallel lines are cut by a transversal, alternate interior angles are equal.

Step2: Identify the relationship between \(80^{\circ}\) and \(y\)

Here, \(y\) and the \(80^{\circ}\) angle are alternate interior angles. So \(y = 80\).

Answer:

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