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Angle Relationships Angle Symbology Symbol A mX Meaning Angle “A” The measure of angle “X” A B ABC Angle “A” is congruent to angle “B” AB CD Line segment AB is perpendicular to segment CD a b Angle ABC where point B is the vertex Line “a” is parallel to line “b” Adjacent Angles Have a common vertex and a common side, but no common interior points. Common Side 1 2 1 and 2 are Vertical Angles Are formed by 2 intersecting lines and are opposite each other. Vertical angles are congruent. They have the same measure 5 and 3 are 4 and 6 are 6 5 4 3 Supplementary Angles W Two angles are supplementary if the sum of the measures of the two angles is 180⁰ X Y WYX and WYZ are Angles Two adjacent angles that for a straight line are supplementary to each other Z Complementary Angles R Two angles are Complementary if the sum of the measures of the two angles is 90⁰ V S VSR and VST are Angles T Perpendicular Lines ( ) R Perpendicular lines are two lines that intersect to form a right angle A S B T E D C G F Name a pair of adjacent angles and a pair of vertical angles in the figure at the right H K G 145⁰ J I The adjacent angles are HGK and KGJ; KGJ and ; JGI and The vertical angles are JGI and ; IGH and ; HGI and Since vertical angles are congruent, mHGK mJGI Are 3 and 4 adjacent angles? Explain 1. 2. 3 4 3 4 3. Does every angle have a complement? Explain 3. 4 3