vertical angles notes pdf

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

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