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Find the value of x in the following figure given that OC bisects angle BOD



In the given figure:

- You are provided with two intersecting lines forming several angles around point \( O \).
- The angle \( \angle AOB = 110^\circ \), and we are asked to find the value of \( x \), which is the measure of \( \angle EOD \), knowing that line \( OC \) bisects \( \angle BOD \).

Let's proceed step by step:

1. \( \angle AOB \) and \( \angle EOD \) are vertically opposite angles, meaning they are equal. Therefore,
   \[
   x = 110^\circ
   \]

Thus, \( x = 110^\circ \).

Would you like further clarification on vertical angles, or do you have any other questions?

### Related Questions:
1. What are vertically opposite angles, and how are they related?
2. How does an angle bisector work in geometry?
3. How can we find the sum of angles at a point?
4. What are the properties of supplementary angles?
5. How do adjacent angles differ from vertically opposite angles?

**Tip:** In geometry, always look for relationships like vertical angles or angle bisectors to simplify the problem-solving process.

Find the value of x in the following figure given that OC bisects angle BOD.

Learn how to find the value of x in a geometric figure where OC bisects angle BOD. This problem covers key concepts such as vertically opposite angles and the angle bisector theorem. Suitable for students in Grades 6-8.

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