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15 Describe Angle Pair Relationships.notebook September 06, 2016 15 Describe Angle Pair Relationships Basketball.wmv 1 15 Describe Angle Pair Relationships.notebook September 06, 2016 Vertical Angles 2 <'s are vertical <'s if their sides form 2 pairs of opposite rays. Example 3 1 2 4 <1 and <2 are vertical <'s <3 and <4 are vertical <'s If 2 angles are vertical angles, then they are congruent. Example from above: <1 ≅ <2 and <3 ≅ <4 Check out this interactive site! http://www.mathwarehouse.com/geometry/angle/verticalangles.php 2 15 Describe Angle Pair Relationships.notebook September 06, 2016 Linear Pair Adjacent angles whose noncommon sides form opposite rays. Angles add to 1800 example: 1 2 <1 & <2 are linear pairs Complementary <'s Sum of the angles measures = 900 or 700 200 Supplementary Angles Sum of the measures = 1800 1200 600 Example: Identify all of the linear pairs and all of the vertical angles in the figure. 3 4 Linear Pairs 2 7 1 5 6 8 9 10 Vertical Angles 3 15 Describe Angle Pair Relationships.notebook September 06, 2016 Examples: 1.) <ABD and <DBC are complementary <'s. Find the value of the variable & angle measures. A D 8n 7n B C 2.) If <1 & <2 are supplementary. Suppose that m<1 = 600 and m<2 = (2x + 20)0. What is the value of x? 3.) Two angles form a linear pair. The measure of one angle is 3 times the measure of the other. Find the measure of each angle. 4.) Find the value of x and all of the angle measures. (20x+5)0 15x 5.) Find the values of x and y 18y 7x2 11x34 4 15 Describe Angle Pair Relationships.notebook September 06, 2016 Homework: p. 3941/816 Even, 1727, 28(Show your let statements),3339, 42, 53 5 Attachments Basketball.wmv