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: Use the property of consecutive interior angles

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. That is, the sum of consecutive interior angles is \(180^{\circ}\).
Here, the angle of \(50^{\circ}\) and the angle of \(y^{\circ}\) are consecutive interior angles. So we have the equation \(y + 50=180\).

Step2: Solve the equation for \(y\)

Subtract \(50\) from both sides of the equation \(y + 50=180\).
\(y=180 - 50\)

Answer:

\(y = 130\)