Question

find the value of $x$.
$x = \square$

Explanation:

Step1: Find adjacent interior angles

First, calculate the interior angles adjacent to the given exterior angles using the linear pair property (sum of angles on a straight line is $180^\circ$):
For the $143^\circ$ exterior angle: $180^\circ - 143^\circ = 37^\circ$
For the $104^\circ$ exterior angle: $180^\circ - 104^\circ = 76^\circ$

Step2: Calculate $x$ using triangle angle sum

The sum of interior angles in a triangle is $180^\circ$. Subtract the two calculated interior angles from $180^\circ$:
$x = 180^\circ - 37^\circ - 76^\circ$

Answer:

$67^\circ$