Question

in the figure below, (lparallel m). find (x).

Explanation:

Step1: Find the interior - angle related to 113°

The angle adjacent to 113° inside the triangle is 180 - 113=67° since they are linear - pair angles.
$180 - 113=67^{\circ}$

Step2: Use the angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In the triangle, we know two angles: 80° and 67°. Let the third angle be $x$.
$x+80 + 67=180$
$x=180-(80 + 67)$
$x=180 - 147$
$x = 33$

Answer:

33