1. GEOMETRY (HOLT 1-4)K.SANTOS Pairs of Angles

2. Adjacent Angles Adjacent angles—two angles in the same plane (coplanar) with a common vertex, a common side but no common interior points A D B C < ABD and <DBC are adjacent angles

3. Linear Pair Linear Pair—a pair of adjacent angles whose noncommon sides are opposite sides 1 2 < 1 and < 2 form a linear pair

4. Complementary Angles

5. Example---Complementary angles

6. Supplementary Angles

7. Example—Supplementary Angles

8. Complements and Supplements

9. Example—Supplements and Complements

10. VerticalAngles Vertical angles—two angles whose sides form two pairs of opposite rays 1 3 2 4 Picture always looks like an X < 1 and < 4 are vertical angles < 2 and < 3 are vertical angles

11. Example—Identifying angle pairs Name a pair of each of the following angles: E F Complementary angles: D <ADB and <BDC A B C Supplementary angles: <ADE and <EDF Vertical angles: <EDA and <FDC