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September 06, 2016 1.4 Angle Measure Objective: * Measure and classify angles * Identify and use congruent angles and the bisector of an angle ray: opposite rays: September 06, 2016 Obj: * Measure and classify angles * Identify and use congruent angles and the bisector of an angle angle: A B 1 C measured in: 1o = 60' 1' = 60" Two angles are complementary if their sum is 90o. Find the complement of an angle with measure 14o 35' . Two angles are supplementary if their sum is 180o. Find the supplement of an angle with measure 112o 15' 23". September 06, 2016 Obj: * Measure and classify angles * Identify and use congruent angles and the bisector of an angle How many degrees are in the angle formed by the hands of a clock at 2:20pm? September 06, 2016 Obj: * Measure and classify angles *Identify and use congruent angles and the bisector of an angle Another unit to measure angles: Radian: measure of an angle made when we wrap the radius around the circle. One Revolution: r d = 2π 360o September 06, 2016 Obj: * Measure and classify angles *Identify and use congruent angles and the bisector of an angle Convert the radians to degrees. 1. π Convert the degrees to radians. 1. 150o 3 2. π 4 2. 90o September 06, 2016 Obj: * Measure and classify angles Angle Types: * Identify and use congruent angles and the bisector of an angle acute: right: obtuse: straight: September 06, 2016 Obj: * Measure and classify angles * Identify and use congruent angles and the bisector of an angle Congruent Angles: If angles are = , then they have the same meas. B A Angle Bisector: If an is bis. then it is divided into 2 A D B C = s. September 06, 2016 Obj: * Measure and classify angles * Identify and use congruent angles and the bisector of an angle 4. KJ and KM are opposite rays, and KN bisects m JKN = 8x -13 and m NKL = 6x + 11, find m N L M K J JKL. If JKN. September 06, 2016 Examples: Obj: * Measure and classify angles A G * Identify and use congruent angles and the bisector of an angle B 5 7 6 D E 3 4 F 1. Name all the angles that have B as a vertex. 2. Name the sides of 5. 3. Write another name for 6. September 06, 2016 Obj: * Measure and classify angles * Identify and use congruent angles and the bisector of an angle HW HR: (1.4) Pg. 41: 13-27odd, 36,37,41,44,51,52