https://file.aiquickdraw.com/mathbot/file/1729604341429bfcahscb.jpg

Let's go through each question based on the relationships provided.

### Question 10
In this case, angles \(a\) and \(b\) are on opposite sides of the intersection formed by two lines. This type of angle relationship is called **vertical angles** because they are opposite each other at the intersection of two lines. Vertical angles are always congruent (equal).

- **Answer: A) Vertical**

### Question 11
Angles \(a\) and \(b\) form a straight line, meaning they are adjacent and together sum up to 180°. This makes them a **linear pair**, which is a pair of adjacent, supplementary angles.

- **Answer: B) Linear pair**

### Question 12
Angles \(a\) and \(b\) are adjacent and form a straight line. Since their sum is also 180°, they are a **linear pair**. The definition of a linear pair applies here as well.

- **Answer: D) Linear pair**

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Would you like further explanation on any of these answers? 

Here are 5 related questions:
1. What are complementary angles, and how do they differ from supplementary angles?
2. How do you identify alternate interior and alternate exterior angles in parallel lines?
3. Can vertical angles ever be complementary?
4. What conditions must two angles satisfy to be considered adjacent?
5. How are consecutive interior angles different from a linear pair?

**Tip:** Linear pairs are always supplementary, but not all supplementary angles form a linear pair!

Identify the relationships for angles in the given diagram.

Learn how to identify vertical and linear pair angles with these examples. Understand the geometry behind vertical angles, which are always congruent, and linear pairs that are supplementary. Suitable for students in Grades 8-10.

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