Angle Pairs Unit 3 lesson 13

In Unit 3 Lesson 13, the topic of angle pairs is discussed. Angle pairs are formed when two angles share a common side and a common vertex. There are several different types of angle pairs that can be formed:

1. Adjacent angles: These are angle pairs that share a common vertex and a common side, but do not overlap.

2. Vertical angles: These are angle pairs that are opposite each other when two lines intersect. Vertical angles are always congruent, meaning they have the same measure.

3. Linear pair: This is a pair of adjacent angles that are formed when two lines intersect. The angles in a linear pair are always supplementary, meaning their measures add up to 180 degrees.

4. Complementary angles: These are angle pairs that add up to 90 degrees. Complementary angles do not have to be adjacent or share a common side, but their measures must add up to 90 degrees.

5. Supplementary angles: These are angle pairs that add up to 180 degrees. Like complementary angles, supplementary angles do not have to be adjacent or share a common side, but their measures must add up to 180 degrees.

Understanding the relationships between these different types of angle pairs can help in solving problems involving angles and their measures.