Question

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

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Since $y$ and $43^{\circ}$ are vertical angles, $y = 43$.
$y=43$

Step2: Use corresponding - angle property

When $m\parallel n$, corresponding angles are equal. The angle with measure $x^{\circ}$ and the angle with measure $43^{\circ}$ are corresponding angles. So $x = 43$.
$x = 43$

Answer:

$x = 43$, $y = 43$