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 $65^{\circ}$ and $y$ are vertical angles, $y = 65^{\circ}$.

Step2: Use corresponding - angle property

Since $m\parallel n$, the angle of $x$ and the angle of $65^{\circ}$ are corresponding angles. Corresponding angles of parallel lines are equal, so $x=65^{\circ}$.

Answer:

$x = 65^{\circ}$, $y = 65^{\circ}$