https://file.aiquickdraw.com/mathbot/file/1728764760120z9wzfc6m.jpg

To find the size of angle \(x\), we can use the following observations from the figure:

1. The triangle has two angles labeled 41° and 94°. The sum of all interior angles in any triangle is 180°.
   
   So, the third angle of the triangle (the angle at the top left) can be found by subtracting:
   \[
   180^\circ - 41^\circ - 94^\circ = 45^\circ
   \]

2. The angle \(x\) is formed by an external line, and the 111° angle is supplementary to the unknown angle inside the triangle (the angle adjacent to \(x\)).

   Since these two angles are on a straight line, they must add up to 180°:
   \[
   x + 111^\circ = 180^\circ
   \]
   Solving for \(x\):
   \[
   x = 180^\circ - 111^\circ = 69^\circ
   \]

Thus, the size of angle \(x\) is **69°**.

Would you like a more detailed explanation or any clarifications?

### Related Questions:
1. What is the sum of the interior angles of a triangle?
2. How do we calculate supplementary angles?
3. Why do the interior angles of a triangle add up to 180°?
4. How would you calculate the exterior angle in a different triangle?
5. Can we use the same method for any other polygon?

### Tip:
Always remember that the sum of angles on a straight line is 180°, which is helpful for solving problems involving external angles!

Discover how to calculate the size of angle x in a triangle using interior angle sum and supplementary angle theorems. With detailed steps, we solve for x by analyzing adjacent angles and applying key geometric concepts. Perfect for students in Grades 7-9.

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