1. 1.6 Describing Pairs of Angles

2. Adjacent Angle vs. Nonadjacent Angle
Vocabulary
Adjacent Angles—Two angles that share a common vertex and side, but have no common interior points
Adjacent Angle vs. Nonadjacent Angle

3. Vocabulary
 Complementary Angles— Two positive angles whose measures have a sum of 90. Angles can be adjacent or nonadjacent.

4. Vocabulary
Supplementary Angles— Two positive angles whose measures have a sum of Supplementary Angles can be adjacent or nonadjacent.

5. EXAMPLE 1
In the figure, name a pair of complementary angles, a pair of supplementary angles, and a pair of adjacent angles. R D C S A T B

6. Example 2
When viewed from the side, the frame of a ball-return net forms a pair of supplementary angles with the ground. Find m<BCE & m<ECD.

7. a. Find m<2. b. Find m<3
You Try #1
a. Find m<2. b. Find m<3 1 4 3 2

8. Vocabulary
Linear Pair— two adjacent angles that are supplementary to one another. Noncommon side of each angle are opposite rays.

9. Vocabulary
Vertical Angles— two angles whose sides form two pairs of opposite rays.

10. Example 3
Identify all the linear pairs and all the vertical angles in the figure

11. Example 4
Two angles form a linear pair. The measure of one angle is five times the measure of the other angle. Find the measure of each angle.

12. Interpreting a Diagram
CAN CONCLUDE:
Adjacent Angles
Vertical angles
Supplementary angles
Point of Intersection
Collinear Points
Coplanar Points
Interior/Exterior Points
CANNOT CONCLUDE:
Congruent Segments
Congruent Angles
Complementary Angles

13. What can you and cannot conclude from the diagram?
You Try #2
What can you and cannot conclude from the diagram?