https://file.aiquickdraw.com/mathbot/file/17303094181151c9yfzo0.jpg

To find \( x \), let's analyze the given diagram:

1. The angle marked \( 50^\circ \) is vertically opposite to the unknown angle \( x \).
2. In geometry, vertically opposite angles are equal. This means:
   \[
   x = 50^\circ
   \]

Thus, the value of \( x \) is:
\[
x = 50^\circ
\]

Would you like more details or have questions about this solution?

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### Related Questions
1. What are vertically opposite angles, and why are they always equal?
2. How can we determine unknown angles using supplementary angles?
3. What other angle relationships are useful in geometric problems?
4. How can we use linear pairs to find unknown angles?
5. How do alternate interior angles relate in parallel line scenarios?

### Tip
Remember, vertically opposite angles are always equal when two lines intersect!

Find the value of x in a diagram with two intersecting lines, where one angle is 50° and the other is marked as x°.

Learn how to find the value of x in a geometry problem involving intersecting lines. The angles given are 50° and an unknown angle x°. Vertically opposite angles are used to solve this problem, which is suitable for students in Grades 6-8.

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