https://file.aiquickdraw.com/mathbot/file/1727727074334uats9yow.jpg

The image shows a geometric figure with a problem asking to find the value of \(x\) based on the angles given in the figure. Here's a step-by-step approach to solve the problem:

1. **Identify the relationships between angles:**
   - The top-left corner has a given angle of 36°.
   - There’s another angle labeled \(50 - 2\) (which simplifies to 48°).
   - The last angle is expressed as \(2x - 1\), meaning we need to solve for \(x\).

2. **Utilize the angle relationships:**
   The three angles shown in the figure form a straight line (linear pair), meaning their sum must equal 180°.

   Therefore, the equation becomes:
   \[
   36 + (50 - 2) + (2x - 1) = 180
   \]
   Simplifying:
   \[
   36 + 48 + (2x - 1) = 180
   \]
   \[
   83 + 2x - 1 = 180
   \]
   \[
   82 + 2x = 180
   \]
   \[
   2x = 180 - 82
   \]
   \[
   2x = 98
   \]
   \[
   x = \frac{98}{2} = 49
   \]

Thus, \(x = 49\).

Since none of the provided answers seem to match this solution (the choices are fractions or decimals), the correct answer is likely **e) Ninguna** (None of the above).

Would you like more details or have any questions?

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**Relative questions:**
1. What is the definition of a linear pair of angles?
2. How do you verify the sum of angles in a straight line?
3. Can angles formed by intersecting lines be calculated using other properties?
4. What happens if the angles do not sum to 180° in such problems?
5. How do you solve equations that involve multiple variables in geometry?

**Tip:** Always double-check angle relationships in geometry, especially when dealing with supplementary or complementary angles.

En la siguiente figura halle el valor de x: 36° + (50 - 2)° + (2x - 1)° = 180°

Learn how to find the value of x in a geometric figure using the concept of linear pair of angles. The problem involves solving an equation where the sum of angles on a straight line equals 180°. Suitable for students in Grades 8-10.

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