1. Sections 1.4 and 1.5
Brit Caswell

2. An angle is formed by two rays with the same endpoint.
The rays are the sides of the angle
The endpoint is the vertex of the angle

3. Naming an Angle
To name an angle, you use the angle symbol followed by three points of the angle. The middle point will always be the vertex of the angle.
It is also possible to name an angle according to a variable. The most common angle names are…

4. The unit of measurement of an angle is usually degrees
The unit of measurement of an angle is usually degrees. Some mathematicians use another unit called radians. In this class, we will discuss degrees. Example:

5. The measure of an angle is the absolute value of the distance between the legs of the angle. We use the measure of the angle to determine the type of angle that is being studied.
This is the format to write measure:

6. Acute Angles
Acute Angles measure less than 90˚.

7. Right Angles
Right Angles measure exactly 90˚.

8. Obtuse Angles
Obtuse Angles measure more than 90˚.

9. Straight Angles
Straight Angles measure exactly 180˚.

10. Angles with the same measure are called…

11. Postulate 1.8 Angle Addition Postulate
Angles can be added together in the same way as segments.

12. Adjacent Angles
Adjacent angles are two coplanar angles with a common side, a common vertex, and no common interior points.

13. Vertical Angles
Vertical angles are two angles whose sides are opposite rays.

14. Complementary Angles
Complementary angles are two angles whose measures have a sum of 90. Each angle is called the complement of the other.

15. Supplementary Angles
Supplementary angles are two angles whose measures have a sum of Each angle is called the supplement of the other.

16. Postulate 1.9 Linear Pair Postulate
If two angles form a linear pair, they are supplementary.

17. Proof: Vertical Angles are Congruent

18. I Do
<KPL and <JPL are a linear pair. What are the measures of <KPL and <JPL? L
2x+24
4x+36 P J K

19. We Do (Popcorn) (Pg. 37)
Name a pair of the following types of angle pairs. 1. Vertical 2. complementary 3. Linear pair E A F B C D

20. You Do (Exit Ticket)
Determine the sets of angular pairs within the bottom image. 12 11 10 1 2 8 9 5 4 6 3 7