Supplementary angles can be adjacent. 1 c. d. 1 2) Find the missing angle in each diagram. Find m!BCA and m!DCA. b). The measurement of angle a is 35°. Find the two angles. These angles are congruent. here we have a hexagon: Each angle is 360 6 = 60 4. Theorem 2-6 Congruence of angles is reflexive, symmetric, and transitive. 14. 22. 15. Theorem 2-7 Congruence of segments is reflexive, symmetric, and transitive. 3. Vertical angles must have the same measure. #2: Find all the missing angles: Mixed Questions: 1) Identify pair of angles each as supplementary, complementary, or vertical a. b. 18. If two angles are supplementary to the same angle or to congruent angles, then they are congruent. b) Find the … Name an angle pair that satisfies the condition two angles that form a linear pair. Any two right angles are supplementary. Four adjacent angles are on a line. Guided Practice 1: A. 18. a1 and a2 are a linear pair, and ma1 5 51 8.Find ma2. Name an angle pair that satisfies the condition two acute vertical angles. Example 2: Two acute angles are always complementary. 3. B. Vertical - Angles that are across from each other and are formed by any intersecting lines (not just parallel lines and transversals). Notes Review: Equal: Complementary: Supplementary: Vertical: Example 1-3: Word Problems 1. angle is 360 n, where n is the number of sides of the polygon. 1 Guided Notes, page 15 2. a) Given that !1 is a complement of !2 and m!2=57°, find m!1. B. Linear Pairs Find the measure of the angle described. 42 A C B D E 1 2 2 2 2 1 Here we see two intersecting lines that create vertical angles. Name two adjacent angles whose sum is less than 90. Given that !3 is a supplement of !4 and , m!4=41°, find m!3. The vertical (opposite) angles are congruent. Correctly identify each picture and write the appropriate A pair of vertical angles can be complementary. A pair of vertical angles can be supplementary. The measurement of the complement of an angle is 39° more than the angle. Evaluating Statements Use the figure below to decide whether the statement is true or false . Find the measurement of angle b. a. b. 1.5 Angle Relationships Notes Example 1: A. Our next theorem relates these two definitions. Find the measurement of the angle and its complement. Name two acute vertical angles. Since these extensions all form a “windmill” ef- vertical angles Illustration Example Problem Definition Properties/Facts adjacent angles Angles a and b are vertical angles. Linear Pairs, Vertical Angles, and Supplementary Angles Definition: Two angles pBAD and pDAC are said to form a linear pair if and areAB JJJG AC JJJG opposite rays. X Y Z W 47° Types of Angles - Notes From a Love ©2016 Math on the Move Vertical angles: Two angles whose sides are opposite rays. Using the Vertical Angles Theorem Find the measure of a1. 23. Find m ∠WYZ. 9.3 9.3 COMPLEMENTARY AND SUPPLEMENTARY ANGLES • Complementary Angles – two angles in which the sum of the measures is 90 degrees. Complementary Angles Supplementary Angles 1 Class Notes - a) State what type of angles are illustrated in the diagram. • Supplementary Angles – two angles in which the sum of the measures is 180 degrees. 19. a3 and a4 are a linear pair, and ma4 5 124 8.Find ma3. 17. 20. 2. 19. 1­4 Notes and answers.notebook 6 August 22, 2013 Aug 21­4:31 PM Example 5: Identifying Vertical Angles Name the pairs of vertical angles. Theorem 2-5 Vertical Angles Theorem Vertical angles are congruent. CH. If ma1 5 40 8, then ma2 5 140 8. Angle Pairs Created by Parallel Lines Cut by a Transversal . 21. The measurement of ∠XYZ = 75°. Complementary angles can be adjacent. The basketball pole at right forms a pair of supplementary angles with the ground. What other type of angle can you see? E.g. 20. Definition: Two angles pBAC and pEDF are said to be supplementary or to be supplements if their measures add to 180. Ex. Aug 21­7:51 PM Assignment (p. 32) 14­17, 23, 27, 29, 33, 34­37, 44­46 3.2 The exterior angle of any polygon In any polygon, the exterior angles are found where the extension of a side meets the next side, as the diagram shows. 4. The measure of two supplementary angles are in the ratio 2:3. 16. _____

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