Question

using parallel lines find the values of x and y. explain your reasoni 12. 109°

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. The angle with measure $x^{\circ}$ and the $109^{\circ}$ angle are vertical angles. So $x = 109$.
$x=109$

Step2: Identify linear - pair relationship

The angle with measure $y^{\circ}$ and the $109^{\circ}$ angle form a linear - pair. A linear - pair of angles are supplementary (their sum is $180^{\circ}$). So $y+109 = 180$. Solving for $y$ gives $y=180 - 109$.
$y=180 - 109=71$

Answer:

$x = 109$, $y = 71$