1. Ch 1.6 Standard 13.0: Students prove relationships between angles by using properties of complementary, supplementary, and vertical angles. Objective: 1) To find the measures of angles. 2) To identify special angle pairs.

2. Key Definitions

3. Postulate

4. More Key Definitions

5. A. complement of  F B. supplement of  G 90  – 59  = 31  (180 – x)  180 – (7x+10)  = 180  – 7x – 10 = (170 – 7x)  (90 – x)  Example 1 Find the measure of each of the following.

6. a. complement of  E Find the measure of each of the following. b. supplement of  F = (102 – 7x)° 180  – 116.5° = 90° – (7x – 12)° = 90° – 7x° + 12° (90 – x)° (180 – x)  Example 2

7. are two nonadjacent angles formed by two intersecting lines whose sides form two pairs of opposite rays. Still More Key Definitions Vertical angles  1 and  3 are vertical angles, as are  2 and  4. Congruent angles are angles that have the same measure. Arc marks are used to show that the two angles are congruent.

8. Please click on the following link (or copy & paste into your browser) to access an interactive activity pertaining to congruent triangles and complementary and supplementary angles. http://glencoe.com/sites/common_assets/mathematics/nat _geo_2010/animation/cogeo_ch04/course_player.html Activity