Question

given $m\parallel n$, find the value of x.

Explanation:

Step1: Identify supplementary angle

The angle adjacent to $164^\circ$ on line $m$ is $180^\circ - 164^\circ = 16^\circ$.

Step2: Use parallel lines property

Since $m \parallel n$, corresponding angles are equal. The $16^\circ$ angle corresponds to $x^\circ$.

Answer:

$x = 16$