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 $x$ using parallel lines

Since $l \parallel m$, $x$ and $y$ are same-side interior angles, so they are supplementary.
$x = 180^\circ - y = 180^\circ - 60^\circ$

Answer:

$120^\circ$