Identifying Angle Pair Relationships

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Presentation transcript:

Identifying Angle Pair Relationships Geometry

What are adjacent angles? Two angles are adjacent angles if they share a common vertex and side, but have no common interior points

VERTICAL ANGLES Vertical angles are two angles whose sides form two pairs of opposite rays. 1 2 4 3

LINEAR PAIR Linear pair are two adjacent angles whose noncommon sides are opposite rays.

Example Are angle EOD and angle COD a linear pair? Are angle AOB and angle BOC a linear pair? Are angle EOD and angle AOB vertical angles? Are angle AOE and angle COD vertical angles?

COMPLEMENTARY ANGLES Two angles are complementary angles if the sum of their measures is 90 degrees. Each angle is the complement of the other. Complementary angles can be adjacent or nonadjacent.

SUPPLEMENTARY ANGLES Two angles are supplementary angles if the sum of their measures is 180 degrees. Each angle is the supplement of the other. Supplementary angles can be adjacent or nonadjacent.

How to Remember…. Complementary = 90° Supplementary = 180° C comes before S  90 comes before 180