Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Since the angle of $140^{\circ}$ and $y^{\circ}$ are vertical angles, we have $y = 140$.

Step2: Use corresponding - angle property

Because $m\parallel n$, the angle of $x^{\circ}$ and the $140^{\circ}$ angle are corresponding angles. Corresponding angles of parallel lines are equal, so $x = 140$.

Answer:

$x = 140$, $y = 140$