Question

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

Explanation:

Step1: Find adjacent supplementary angle

The angle adjacent to $147^\circ$ on line $l$ is $180^\circ - 147^\circ = 33^\circ$.

Step2: Use triangle exterior angle property

For the triangle formed between the parallel lines, $x$ is equal to the sum of the $33^\circ$ angle and the given $80^\circ$ angle.
$x = 33^\circ + 80^\circ$

Answer:

$113$