Question

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

Explanation:

Step1: Identify angle - relationship

When two parallel lines are cut by a transversal, corresponding angles are equal and adjacent angles on a straight - line sum to 180°. The 50° angle and the angle adjacent to \(y^{\circ}\) are corresponding angles, so they are equal.

Step2: Calculate the value of \(y\)

The angle adjacent to \(y^{\circ}\) is 50°. Since the sum of adjacent angles on a straight - line is 180°, we have \(y + 50=180\). Solving for \(y\), we get \(y=180 - 50\).

Answer:

D. \(y = 130\)