Special Angle Pairs

In Geometry, there are special pairs of angles that have names. They have names because they show up so often, mathmaticians named each special pair.


There are 5 special angle pairs:
1. Complementary angles
2. Supplementary angles
3. Linear Pair
4. Vertical angles
5. Adjacent angles

We will cover each pair in order.


Complementary Angles


Two angles are called "Complementary Angles" if their degrees add to equal exactly 90°.


Supplementary Angles


Two angles are called "Supplementary Angles" if their degrees add to equal exactly 180°.


Linear Pair Angles


Two angles are called a "Linear Pair" if the two angles form a straight line when placed adjacent, or next to, eachother. No spaces can be between the two angles. They must be adjacent.


Vertical Angles


Two angles are called a "Vertical Angles" if the two angles are formed by two lines that cross eachother. Vertical Angles are across the intersection from eachother and can never be adjacent angles.


Adjacent Angles


Two angles are called a "Adjacent" if the two angles are right next to eachother and there are no angles between them.



Now you know the five names and definitions, let's look at some examples of each type.


Complementary Angles


ex 1 ex 1

Supplementary Angles


ex 2 ex 2

Linear Pairs


ex 3 ex 3 ex 3 ex 3

Vertical Angles


ex 4

Adjacent Angles


ex 5 ex 5 ex 5