Angle Relationships

Angle Symbology Symbol Meaning Angle “A” The measure of angle “X” Angle “A” is congruent to angle “B” Angle ABC where point B is the vertex Line segment AB is perpendicular to segment CD Line “a” is parallel to line “b”

Adjacent Angles Side Have a common vertex and a common side, but no common interior points. 1 2 Common

Vertical Angles Are formed by 2 intersecting lines and are opposite each other. Vertical angles are congruent. They have the same measure 6 3 5 4

Supplementary Angles W Two angles are supplementary if the sum of the measures of the two angles is 180⁰ X Y Z Angles Two adjacent angles that for a straight line are supplementary to each other

Complementary Angles R Two angles are Complementary if the sum of the measures of the two angles is 90⁰ V S T Angles

Perpendicular Lines ( ) Perpendicular lines are two lines that intersect to form a right angle S T A B E D C F G

Name a pair of adjacent angles and a pair of vertical angles in the figure at the right K G 145⁰ J I

3. Does every angle have a complement? Explain 1. 2. 3 4 3 4 3. Does every angle have a complement? Explain 3. 4 3