Question

in the figure below, ( l parallel m ). find ( x ).

Explanation:

Step1: Find third angle of triangle

The sum of angles in a triangle is $180^\circ$. Let the third angle be $y$.
$y = 180^\circ - 55^\circ - 65^\circ = 60^\circ$

Step2: Relate to co-interior angles

Since $l \parallel m$, $x$ and $y$ are co-interior angles (sum to $180^\circ$).
$x = 180^\circ - 60^\circ$

Answer:

$110$