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To solve for \( x \), we'll use the property that the sum of the interior angles of a triangle is always \( 180^\circ \). In the given triangle, the angles are \( (2x - 13)^\circ \), \( 110^\circ \), and \( 41^\circ \).

The equation becomes:

\[
(2x - 13) + 110 + 41 = 180
\]

Let's solve this:

1. Combine like terms:
   \[
   2x - 13 + 151 = 180
   \]
   \[
   2x + 138 = 180
   \]

2. Subtract 138 from both sides:
   \[
   2x = 42
   \]

3. Divide by 2:
   \[
   x = 21
   \]

So, \( x = 21 \).

Would you like further details or have any questions about this solution?

### Related Questions:
1. How do you determine the sum of angles in different polygons?
2. What is the definition of supplementary angles?
3. How do you solve for unknowns in algebraic equations involving angles?
4. What other types of triangles exist besides those with unequal angles?
5. How do exterior angles relate to the interior angles of a triangle?

### Tip:
Always remember that the sum of the angles inside any triangle is \( 180^\circ \). This property is fundamental when solving for unknown angles.

The measures of the angles of a triangle are shown in the figure below. Solve for x. The angles are (2x-13)°, 110°, and 41°.

Learn how to solve for x in a triangle where the angles are (2x-13)°, 110°, and 41°. This problem covers key geometry concepts, including the triangle angle sum theorem. Suitable for students in Grades 7-9.

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