The problem involves solving for the unknown angle $x$ in a triangle, where two of the angles are given as $43^\circ$ and $108^\circ$.

Steps:

1. Sum of interior angles of a triangle: The sum of the interior angles of any triangle is always $180^\circ$.

   So, for this triangle: $43^\circ + 108^\circ + x = 180^\circ$

2. Solve for $x$: $x = 180^\circ - (43^\circ + 108^\circ)$ $x = 180^\circ - 151^\circ$ $x = 29^\circ$

Thus, the value of $x$ is $29^\circ$.

Would you like more details or have any questions?

Here are some related questions:

1. What is the sum of the interior angles in any polygon?
2. How do you find the third angle in a triangle if two angles are known?
3. What is the definition of an obtuse angle in a triangle?
4. Can a triangle have more than one obtuse angle?
5. How do the angles in a right triangle behave?

Tip: Remember that the sum of the interior angles of a polygon increases by $180^\circ$ for each additional side!