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                 \ 19-Nov-2025  Bharat Arora   Proof-9             Reader’s Sign _______________________ Date __________





                        e.                                              f.
                              180  0                           180  0
                               170  10                         170  10                      80  90
                                                                                         70    90  100  110
                                160  20                       160  20                 60  110 100  80  70  120
                                                                                    50  120           60  130
                                  30                         150
                                 150                          30                     130                 50
                                    40                      140                   40                       140
                                   140                       40                    140                     40
                                                                                30                           150
                                      50
                                                          130
                                     130                  50                     150                        30
                                        60              120
                                       120  70  80   110 100  60               20  160                       20  160
                                          110  100  90  80  70
                                                                              10  170                         10  170
                                                90
                                                                                180                           0
                                                                              0                                 180
                   2.  use a protractor to measure each angle.
                               A                                           S
                       a.                       b.  P                   c.                       d.  G






                          B             C               Q          R        T            U              O           D
                          ∠ABC = _____             ∠PQR = _____            ∠STU = _____              ∠GOD = _____

                   3.  Draw the following angles using a protractor.

                        a.  40°            b.  50°              c.  75°             d.  125°             e.  142°

                        f.  25°            g.  175°             h.  120°             i.  90°              j.  165°





                TYPeS of AngleS


                There are different types of angles. Let us study them.

                  1.   Acute  angle: An angle whose    2.  right  angle: An angle whose
                       measure is between 0° and 90° is                     measure  is 90°  is called a  right
                       called an acute angle.                               angle.

                       In the following figure, ∠ABC = 50°.                 In the following figure, ∠ABC = 90°.

                                        A                                           A






                                   50°                                                   90°
                               B                C
                                   Acute angle                                       B                C
                                                                                          Right angle
                       Thus, ∠ABC is an acute angle.                        Thus, ∠ABC is a right angle.




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