https://file.aiquickdraw.com/mathbot/file/1729276420157adp18bat.jpg

Let's solve for \(x\) based on the information given in the triangle.

### Step-by-Step Solution:

The sum of the interior angles of any triangle is always:

\[
41^\circ + 65^\circ + x^\circ = 180^\circ
\]

Now, combine the known angles:

\[
106^\circ + x^\circ = 180^\circ
\]

Solve for \(x\):

\[
x^\circ = 180^\circ - 106^\circ = 74^\circ
\]

### Final Answer:
\[
x = 74^\circ
\]

Would you like a more detailed breakdown or have any further questions?

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Here are 5 follow-up questions to consider:
1. How do we know the sum of interior angles of any triangle is always \(180^\circ\)?
2. What are exterior angles of a triangle, and how do they relate to interior angles?
3. Could this triangle be classified as acute, obtuse, or right? Why?
4. What is the difference between an equilateral, isosceles, and scalene triangle?
5. How do angle measures affect the side lengths in a triangle?

**Tip:** In any triangle, knowing just two angles is sufficient to determine the third angle!

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

Learn how to solve for the unknown angle in a triangle with interior angles of 41° and 65°. This solution explains the angle sum property and provides a step-by-step calculation to find x, suitable for students in Grades 6-8.

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