https://file.aiquickdraw.com/mathbot/file/17260789776589oi6rl4a.jpg

In the image, we are dealing with a triangle where two angles are given as 75° and 36°. You are asked to find the value of the angle labeled as \( x \).

We can solve this using the following geometric properties:

1. The sum of interior angles in any triangle is always 180°.
2. The unknown angle \( x \) is the exterior angle to the triangle formed by the two given angles.

### Solution:

The exterior angle \( x \) is equal to the sum of the two opposite interior angles of the triangle. This can be written as:

\[
x = 75^\circ + 36^\circ = 111^\circ
\]

Thus, the measure of \( x \) is \( 111^\circ \).

Let me know if you'd like further details or have any other questions!

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Here are 5 related questions for further exploration:
1. What is the formula for finding the sum of the interior angles of a polygon?
2. How do you find the exterior angles in a regular polygon?
3. What is the relationship between interior and exterior angles in a triangle?
4. How can you find the third angle in a triangle when two angles are known?
5. What is the sum of the exterior angles for any polygon?

**Tip:** In any triangle, the exterior angle is always equal to the sum of the two non-adjacent interior angles.

Solve for the exterior angle x in a triangle where two interior angles are 75° and 36°. Learn about the Exterior Angle Theorem and how to apply it to find the measure of angle x.

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