Question

given m || n, find the value of x and y.

Explanation:

Step1: Use vertical - angle property

Since vertical angles are equal, $x = 136^{\circ}$ because $x$ and the $136^{\circ}$ angle are vertical angles.

Step2: Use corresponding - angle property

Because $m\parallel n$, $y$ and the $136^{\circ}$ angle are corresponding angles. Corresponding angles of parallel lines are equal, so $y = 136^{\circ}$.

Answer:

$x = 136^{\circ}, y = 136^{\circ}$