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The problem shows two intersecting lines, which form opposite angles. In this case, the angles labeled \(x\) and \(20^\circ\) are vertical angles. According to the vertical angles theorem, vertical angles are congruent, meaning they are equal.

Thus, \( x = 20^\circ \).

The correct answer is:

**\( x = 20^\circ \)**.

Do you want more details on the vertical angles theorem or have any other questions? Here are some related questions you might find helpful:

1. What are vertical angles, and why are they always congruent?
2. How do you solve for unknown angles in intersecting lines?
3. Can vertical angles ever be supplementary?
4. How do complementary and supplementary angles differ from vertical angles?
5. How can the properties of angles help in solving geometry problems?

**Tip**: When dealing with intersecting lines, always check for vertical angles—they are equal and can simplify your calculations!

Find the missing angle measurement. Given two intersecting lines, one angle is 20 degrees, and the other is x degrees.

Learn how to find the missing angle measurement using the Vertical Angles Theorem. In this example, two intersecting lines create angles where one is 20 degrees. Find out why vertical angles are congruent and how x = 20 degrees.

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