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Geometry Chapter 1 Section 4: Pairs of Angles Objectives Identify adjacent, vertical, complementary, and supplementary angles Find the measures of angle pairs Vocabulary 1. _____________________angles are two angles in the same plane with a common ___________, but no common _______________ points. Example: 2. A __________________ __________________ of angles is a pair of adjacent angles whose noncommon sides are _________________________ rays. Example: EXAMPLE 1: Tell whether the angles are only adjacent, adjacent and form a linear pair, or not adjacent. A. ∠ AEB and ∠BED B. ∠ AEB and ∠BEC C. ∠DEC and ∠ AEB 3. _________________________ angles are two angles whose measures have a sum of _______________. Example: 4. _______________________ angles are two angles whose measures have a sum of ___________________. Example: EXAMPLE 2: Find the measure of each of the following. A. complement of ∠F B. supplement of ∠G EXAMPLE 3: A. An angle is 10 degrees more than 3 times the measure of its complement. Find the measure of the complement. B. Find the measures of two supplementary angles if the measure of one angle is 6 less than five times the measure of the other angle. EXAMPLE 4: Light passing through a fiber-optic cable reflects off the walls of the cable in such a way that 1 2 , 3 are complementary, and 2 and 4 are complementary. If m 1 47 , find m 2 , m 3 ,and m 4 . 5. 1 and Another angle pair relationship exists between two angles whose sides form two pairs of opposite rays. __________________________angles are two ______________________________ angles formed by two intersecting lines. Example: EXAMPLE 5: Name the pairs of vertical angles.