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, corresponding angles are congruent and alternate - interior angles are congruent, and same - side interior angles are supplementary. The angle of (50^{\circ}) and the angle with measure (y^{\circ}) are same - side interior angles.

Step2: Apply the supplementary - angle property

Same - side interior angles add up to (180^{\circ}). So, we have the equation (y + 50=180).

Step3: Solve for (y)

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

Answer:

(y = 130)