Page 12 - Key Stage 3 Geometry
P. 12

2 Angles and the Protractor

                                    Whenever  two  lines  cross,

                                    angles  subtend  between  them

                                    as shown in the diagram on the
                                    left.  Angles  are  measured  in

                                    degrees which is indicated by a
        o , each angle is subdivided into 60 minutes, indicated

        by a ’ and each minute is subdivided into 60 seconds

        (or arcseconds) indicated by a ”. In the above diagram
                                             o
        all the angles add up to 360 , what you would find in
        a full circle. Therefore,

                                                           
                              +    +    +    = 360
        or
                                                               
                       2   + 2   = 2(   +   ) = 360
        Dividing both sides by 2

                                                     
                                    +    = 180

        Angles fall into four categories, as shown below.


                  Acute angle                        Right angle










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