Question

find the value of x.

Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles.
Let the exterior angle be $143^{\circ}$, and the two non - adjacent interior angles be $33^{\circ}$ and $x^{\circ}$. So, $143 = 33+x$.

Step2: Solve for $x$

Subtract 33 from both sides of the equation $143 = 33+x$. We get $x=143 - 33$.
$x = 110$.

Answer:

$110$