Question

using parallel lines find the values of x and y. explain your reasoning. 11. 67° x° y°

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle of $67^{\circ}$ and $x^{\circ}$ are vertical angles. So $x = 67$.
$x=67$

Step2: Identify corresponding - angle relationship

The angle of $y^{\circ}$ and the $67^{\circ}$ angle are corresponding angles formed by a transversal intersecting two parallel lines. Corresponding angles are equal. So $y = 67$.
$y = 67$

Answer:

$x = 67$, $y = 67$