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: Recall angle - relationship

When two parallel lines are cut by a transversal, corresponding angles are equal and adjacent angles on the same - side of the transversal are supplementary (sum to 180°). The 50° angle and the angle adjacent to (y) are corresponding angles, so the angle adjacent to (y) is 50°.

Step2: Use supplementary - angle property

Since (y) and the 50° angle are adjacent angles on the same - side of the transversal, (y + 50^{\circ}=180^{\circ}).

Step3: Solve for (y)

Subtract 50° from both sides of the equation: (y=180^{\circ}-50^{\circ}).

Answer:

(y = 130) (So the correct option is (y = 130))