Question

given m || n, find the value of x and y. answer attempt 2 out of 5 x = 64 y = 64

Explanation:

Step1: Use corresponding - angle property

Since $m\parallel n$, the angle of $116^{\circ}$ and the angle adjacent to $y^{\circ}$ are corresponding angles, so they are equal. The angle adjacent to $y^{\circ}=116^{\circ}$.

Step2: Use linear - pair property

The angle adjacent to $y^{\circ}$ and $y^{\circ}$ form a linear - pair. A linear - pair of angles sum to $180^{\circ}$. So $y = 180 - 116=64^{\circ}$.

Step3: Use vertical - angle property

$x^{\circ}$ and $y^{\circ}$ are vertical angles. Vertical angles are equal. So $x = y = 64^{\circ}$.

Answer:

$x = 64$, $y = 64$