Angles and Degrees 1.) Label the vertex, initial side and terminal sides of the angle. Label vertex P. Draw a point Q on the initial side and Point R on the terminal side. 2.) Identify the ways to name the angle. 3.) (a) Positive angle, ! counterclockwise (b) Negative Angle, ! (C) Coterminal angles ! , ! Clockwise rotation 4.) Degree Measures of Angles An angle formed by one complete revolution of the terminal side in a counterclockwise direction has a measure of 360°. An angle that 1 measures 1° is formed by of a complete revolution in a 360 counterclockwise direction. Question: How many degrees are in the angle formed by the terminal 1 side rotating counterclockwise through revolution ? 4 5.) Angle Classification: (a) acute (b) right (e) complementary (c) obtuse (f) supplementary (d) straight Angles and Degrees 6.) Converting degrees to minutes. a.) 5°45’ 1 degree= 60 minutes = 60’ b.) 36°32’ 7.) Converting degrees to seconds. 1 degree = 3600 seconds=3600” a.) 2°20’13’’ b.) 5°10’50’’ 8.) Convert the indicated quantities: a.) 8°22’ = ___ ‘ b) 5°13’10” = ____ “ c.) 82’ = _____° _____’ 9.) Convert 12°6’23” to degrees 10.) Convert 128°42’8” to degrees d) 95” = ____’ ____” Angles and Degrees You Try! Convert to the indicated quantities: 1.) 10°33’ = _______ ‘ 2.) 40°27’ = _______’ 3.) 1°10’12’’ = _____” 4.) 3°2’25’’=_______” 5.) 72° = ____°_____’ 6.) 84” = ____’ ___” Change the following to decimal degrees accurate to three decimal places. 7.) 43°21’4’’ 8.) 61°52’11’’ 9.) 2°12’47’’ 10.) 23°5’21’’ 11.) 103°17’41’’ 12.) 228°40’51’’