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Notes F1: 10-20-15 Homework - Online (Assn. 9-1) Goals 1) Identify and use special pairs of angles. 2) Write model equations and use them to find measure of angles. Notes E1 Goals 1.6 Angle Pairs Angle Pairs Note 1 Four Types *Angle Pairs are referring to angles that are in groups of two. Four types... 1) Complementary Angles Two angles are complementary if the sum of their measures is 90 Complementary Angles Sum is 90 Note 1 1, 2 are complementary angles Note 2 Model Equation 1 and 2 are complements of each other. Model Equation 1 MODEL EQUATION 2 m1 + m2 = 90 2) Supplementary Angles Two angles are supplementary if the sum of their measures is 180 Supplementary Angles Sum is 180 Note 2 Note 1 Model 1, 2 are supplementary angles 1 Equation 1 and 2 are supplements of each other 2 MODEL EQUATION m1 + m2 = 180 Common Mistake ****COMMON MISTAKE ALERT**** Not adjacent Question *Complementary and Supplementary angles DO NOT HAVE TO BE ADJACENT ANGLES. Informally Formally Diagrams What are adjacent angles? Adjacent angles are "next to" each other. Share a side, have no common interior points. 37 122 53 58 3) Vertical Angles Two angle are Vertical Angles if their sides form opposite rays. Vertical Angles Opp rays The pair of vertical angles are going to be...1, 3; 2, 4 Pair of VA Across Congruent *Angles that are "across from each other" 2 1 *Vertical Angles are congruent 4 MODEL EQUATION 4) Linear Pair Model Equation 3 m1 = m3 m2 = m4 Two angles form a Linear Pair if they are supplementary, adjacent angles. Linear Pair *Look a lot like supplementary angles Supp Angles Adjacent *Only difference is that they MUST be adjacent. Supp-Adj Model 1 2 MODEL EQUATION m1 + m2 = 180 Equation ANGLE PAIR MODEL EQUATIONS Model Equations Comp Angles 1) Complementary Angles 2) Supp. Angles / Linear Pair 3) Vertical Angles Equation Supp/LP Equation m1 = m2 Vertical Angles Equation m1 + m2 = 180 1 m1 + m2 = 90 1 2 1 2 2