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The image shows a question related to the identification of types of angles formed by intersecting lines.

The diagram provided appears to have two lines intersecting, forming four angles. The question asks to identify the types of each angle formed.

### Explanation:

When two lines intersect, they create four angles. These angles can be categorized into the following types:

1. **Vertical Angles**: These are the opposite angles formed by the intersection of two lines. Vertical angles are always equal.
2. **Adjacent Angles**: These are pairs of angles that share a common side and vertex, and they are supplementary, meaning their sum is \(180^\circ\).

Given the setup in the diagram:
- **\(\angle AOC\) and \(\angle BOD\)** are vertical angles.
- **\(\angle AOB\) and \(\angle COD\)** are vertical angles.
- **\(\angle AOC\) and \(\angle COD\)** are adjacent angles.
- **\(\angle AOB\) and \(\angle BOD\)** are adjacent angles.

So, the angles can be classified as either vertical angles or adjacent angles.

Do you want further details on any specific angle type or additional explanations on how to identify or calculate these angles?

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Here are some related questions to deepen your understanding:

1. What is the relationship between adjacent angles when two lines intersect?
2. How can you use the properties of vertical angles to solve for unknown angles?
3. What happens to the adjacent angles if the lines are perpendicular?
4. How can the concept of linear pairs help in solving problems involving intersecting lines?
5. Can two angles be both vertical and adjacent at the same time?

**Tip:** Remember, vertical angles are always equal, and adjacent angles on a straight line always add up to \(180^\circ\).

Identify the types of angles formed by two intersecting lines based on the provided diagram.

Learn how to identify the types of angles formed by intersecting lines. This problem covers key geometric concepts, including vertical angles and adjacent angles, suitable for students in Grades 6-8.

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