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1.4 Angles & Their Measures (Page 1 of 2) Angle two different rays that have the same initial point The rays are the sides of the angle. The initial point is called the vertex of the angle. Angles are classified as acute, right, obtuse, and straight. Adjacent s two angles that share a common vertex and one side but have no common interior points Congruent s angles that have the same measure MEASURES ARE EQUAL mBAC = mDEF The measure of angle BAC is equal to the measure of angle DEF. ANGLES ARE CONGRUENT BAC DEF Angle BAC is congruent to angle DEF. P3) Protractor P Rays can be matched one to one with the real numbers from 0 to 180. The measure of a ray is equal to the absolute value of the difference between the real numbers for OA and OB. 1.4 Angles & Their Measures (Page 2 of 2) A D P4) Angle + P (Postulate) B C If D is in the interior of ABC, then ABD + DBC = ABC. Interior and exterior areas are created. Adjacent angles are created. Angle Classification Acute s angles that measure greater than 0 o but less than 90 o Right s angles that measure 90 o Obtuse s angles that measure greater than 90 o but less than 180 o Straight s angles that measure 180 o