Page 169 - ICSE Math 7
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Interior angles                                                                   n

                    The four angles formed between two straight lines intersected by a transversal    2   1
                                                                                                      3
                    are known as interior angles. In the given figure, angles 3, 4, 5 and 6 are            4          l
                    interior angles.
                                                                                                         6   5         m
                                                                                                         7   8



                                                                                                      n
                    Exterior angles
                                                                                                      2   1
                    The four angles formed that are not in the region or the space between two        3
                    straight lines intersected by a transversal are known as exterior angles. In           4          l
                    the given figure, angles 1, 2, 7 and 8 are exterior angles.                          6   5         m

                                                                                                         7   8



                    Co-interior angles                                                                n
                                                                                                      2   1
                    The pair of interior angles which are on the same side of the transversal         3
                    are known as co-interior angles or allied angles. In the given figure, angles          4          l
                    3 and 6, and angles 4 and 5 are two pairs of co-interior angles.
                                                                                                         6   5         m
                                                                                                         7   8


                                                                                                      n
                    Exterior allied angles
                                                                                                      2   1
                    The pair of exterior angles which are on the same side of the transversal are     3
                    known as exterior allied angles. In the given figure, two pairs of exterior            4          l
                    allied angles are angles 1 and 8, and angles 2 and 7.
                                                                                                         6   5         m
                                                                                                         7   8



                    Alternate angles                                                                  n
                    The pair of angles formed on opposite sides of the transversal are known          2   1
                    as alternate angles. Both these angles are either exterior or interior, but not   3    4          l
                    adjacent. In the given figure, angles 3 and 5, and angles 4 and 6 are two
                    pairs of alternate interior angles, and angles 1 and 7 and angles 2 and 8            6   5         m
                    are two pairs of alternate exterior angles.                                          7   8




                    Corresponding angles                                                              n
                    Corresponding angles are two non-adjacent angles made by the intersection         2   1
                    of two lines by a transversal. One of the corresponding angles is interior        3    4          l
                    and the other is exterior, and both the angles are on the same side of the
                    transversal. In the given figure, the four pairs of corresponding angles are         6   5         m
                    1 and 5, 4 and 8, 2 and 6 and 3 and 7.                                               7   8



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