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E:\Working\Orange_Education\Math_Genius_5\Open_Files\CHAP_06
               \ 08-Oct-2025  Bharat Arora   Proof-9                                 Reader’s Sign _______________________ Date __________





                4.  Name all the angles in the figures given below.
                    (  a)                                            (b)
                         A                                                          S
                                                                           R
                                 B                                                          T




                        O            C                                             P            Q
                5.  Look at the given figure. Write:                                                        A

                    (  a)  the points that lie on the angle.                                   K        E
                    (  b)  the points that lie in the interior of the angle.                            H      I

                    (  c)  the points that lie in the exterior of the angle.                B    D  F    G     C

              measurinG an anGle                                                                          J


              The measure of rotation between the arms of an angle gives the measure of the angle in
              degrees (°). Observe the rotations of an arm of an angle.

                                              B
                              B                                    B





                    O              A           O           A             O            A        B       O       A

                         O                   O            A        O              A           O
                                     A                                                                  B    A



                      B
                                             B                             B

              A complete turn of the arm about the vertex of the angle is divided into 360 equal parts.
              Each part measures 1°. So, a complete turn about a point measures 360°.

              The measurement of an angle is done using a protractor.
              a protractor


              A protractor is a D-shaped instrument used for measuring angles.
              It  is  semicircular  in  shape  and  has  two  edges,  one                Inner

              semicircular  and  the  other  a  straight  edge.  The             Outer   scale
              semicircular edge has two scales that are called the               scale      70  80  90  100  110
                                                                                          60 120 110 100  90  80  70  120
              inner  and  outer  scales.  Angles  from  0°  to  180°  are   Base      40  50  130       60  50 130  140
              marked on both the scales.                                     line   30  150  140            40  30 150
                                                                                   20  160                    20  160
              We read the outer scale clockwise and the inner scale                10  170                     10  170
              anticlockwise. The straight edge has a baseline. The                 0  180       O              0  180  R
              mid-point of the baseline is called its centre point.                              Centre


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              Mathematics-5                                                                                         119119
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