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: Identify angle - relationship

The angle of $50^{\circ}$ and the angle $y^{\circ}$ are same - side interior angles formed by two parallel lines $b$ and $c$ and a transversal $a$.

Step2: Apply angle - property

Same - side interior angles of two parallel lines are supplementary, that is, their sum is $180^{\circ}$. So, $y + 50=180$.

Step3: Solve for $y$

Subtract $50$ from both sides of the equation: $y=180 - 50$. Then $y = 130$.

Answer:

$y = 130$