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

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!