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 $125^{\circ}$ and $x$ are vertical angles, $x = 125$.

Step2: Use corresponding - angle property

Because $m\parallel n$, corresponding angles are equal. The angle of $y$ and the $125^{\circ}$ angle are corresponding angles, so $y=125$.

Answer:

$x = 125$, $y = 125$