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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!

The measures of the angles of a triangle are shown in the figure. Solve for x.

Learn how to solve for the unknown angle x in a triangle where the other two angles are 43° and 108°. This geometry problem uses the Triangle Sum Theorem and is suitable for students in Grades 6-8.

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