Question

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

Explanation:

Step1: Identify angle - relationship

When two parallel lines $m$ and $n$ are cut by a transversal $t$, the given $116^{\circ}$ angle and the $x^{\circ}$ angle are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by two parallel lines and a transversal are congruent. So $x=116$.

Answer:

$x = 116$