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!