Page 646 - Basic College Mathematics with Early Integers
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S E C T ION  9 .1 I LINES AND ANGLES                    623


            Objective      Classifying Angles as Acute, Right,
                           Obtuse, or Straight

            An angle can be measured in degrees. The symbol for degrees is a small, raised
            circle, °.There are 360° in a full revolution, or a full circle.
                                              360



                1                        1
                  of a revolution measures  (360°) = 180°.  An angle that measures 180° is
                2                        2
            called a straight angle.

                                               180

                                        R       S      T
                                        RST is a straight angle.
                1                      1
                 of a revolution measures  (360°) = 90°.  An angle that measures 90° is called
                4                      4
            a right angle. The symbol  is used to denote a right angle.



                                         A



                                         B         C
                                        ABC is a right angle.

                An angle whose measure is between 0° and 90° is called an acute angle.



                                        40
                                                  62

                                           Acute angles
                An angle whose measure is between 90° and 180° is called an obtuse angle.


                                                      95
                                                                                        PRACTICE 3
                                         120
                                                                                        Classify each angle as acute,
                                           Obtuse angles                                right, obtuse, or straight.
                                                                                        a.          b.
              Example 3     Classify each angle as acute, right, obtuse, or straight.                      N
                                                                                           R
              a.             b.

                                                                                        c.          d.
                                     S
               R
                                                                                          M
                                                                                                              Q
              c.             d.


                                                                                        Answers
                                   Q                                                    3. a. obtuse b. straight c. acute
               T                                                   Continued on next page  d. right
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