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Names for angles


      < 90                  = 90




 90 < a < 180
                   180 < a < 360
Compass points and bearings
       North


                                 000
West              East


                         270           090
       South


                                 180
Angles at a point
Angles on a line
Complementary angles
Opposite angles
Parallel lines: Corresponding angles
Parallel lines: Alternate angles
Parallel lines: Allied angles
Angles in a triangle
Named triangles...
Angles in a quadrilateral
Named quadrilaterals
Interior and exterior angles




     Also called external and internal angles
Polygons
             Triangle
             Rectangle
Irregular
             Pentagon
             Hexagon
             Heptagon
             Octagon
             Nonagon
   Regular   Decagon
Exterior angles of a polygon



                           Regular
   Irregular
                                         e


                               e = 360
                                    n
Exterior angles            Exterior angle
add to 360                 must be factor
                           of 360
Interior angles of a polygon

                                            Regular

                                       i
                                             e

                                       (n – 2) ×180
Total                             i=
internal = (n – 2) ×180                      n
angle
                                  i = 180 - e
Circle angles

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Shape angle-revision-hints