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

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

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

Answer

Explanation:

Step1: Use vertical - angle property

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

Step2: Use the property of corresponding angles

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

Answer:

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