Question

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

Explanation:

Step1: Use corresponding - angles property

Since the two lines are parallel, the corresponding angles are equal. The angle of $110^{\circ}$ and $y^{\circ}$ are corresponding angles. So $y = 110$.

Step2: Use linear - pair property

The angle $x^{\circ}$ and $y^{\circ}$ form a linear - pair. A linear - pair of angles add up to $180^{\circ}$. So $x+ y=180$. Substitute $y = 110$ into the equation: $x+110 = 180$, then $x=180 - 110=70$.

Answer:

$x = 70$, $y = 110$