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In this problem, we have a triangle with two known angles: \( 29^\circ \) and \( (11x - 65)^\circ \). Since this is a triangle, the sum of the interior angles must equal \( 180^\circ \). We can set up an equation to solve for \( x \).

### Step-by-Step Solution

1. **Set up the equation:**
   \[
   29^\circ + (11x - 65)^\circ + \text{third angle} = 180^\circ
   \]
   However, it looks like there’s a mark indicating that the third angle and \( 29^\circ \) are corresponding angles, which means the third angle is also \( 29^\circ \).

2. **Formulate the equation:**
   \[
   29^\circ + (11x - 65)^\circ + 29^\circ = 180^\circ
   \]

3. **Combine like terms:**
   \[
   58^\circ + (11x - 65)^\circ = 180^\circ
   \]

4. **Solve for \( x \):**
   - First, isolate the terms with \( x \) by adding 65 to both sides:
     \[
     11x - 7 = 180^\circ
     \]


Given a triangle with angles 29° and (11x - 65)°, find the value of x.

Learn how to solve for x in a triangle with given angles 29° and (11x - 65)° using the triangle sum property. This problem covers core geometry concepts and algebra skills, suitable for students in Grades 8-10.

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