Question

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

Explanation:

Step1: Identify angle - relationship

$x$ and the $124^{\circ}$ angle are supplementary angles (linear - pair).

Step2: Use supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. So $x + 124^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 124^{\circ}$.
$x = 56^{\circ}$

Answer:

$56^{\circ}$