Question

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

Explanation:

Step1: Find supplementary angle of 147°

The angle adjacent to $147^\circ$ on line $l$ is supplementary, so:
$180^\circ - 147^\circ = 33^\circ$

Step2: Apply exterior angle theorem

For the triangle formed between the parallel lines, the exterior angle $x^\circ$ equals the sum of the two non-adjacent interior angles:
$x = 33^\circ + 80^\circ$

Answer:

$113$