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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 __________






                                                          Math Insight
                  Clockwise means moving in the direction of the hands of a clock.
                  Anticlockwise is a direction opposite to that of the normal
                  rotation of the hands of a clock.
                                                                                           Clockwise    Anticlockwise


                    activity                                                                              Experiential Learning

                   Š Take  a  circular  paper  cutout  or  a  paper  plate  and  mark  a  point
                   O at its centre.
                   Š Fold the circular cutout (or plate) exactly in half along the point

                   O and crease it firmly.                                                                  O
                   Š Open  it  up.  The  crease  is  a  straight  line  representing  a  straight
                   angle (180°) along point O.

                   Š Take another circular cutout (or plate) and fold it in half.
                   Š Now,  fold  that  half  again  in  half,  lining  up  the  straight  edges  of
                   the crease.                                                                              O

                   Š Unfold  it,  the  two  creases  will  form  a  cross  at  point  O.  Each  of
                   the four angles at the centre O represents a right angle (90°).

                   Š Now, fold another cutout into a quarter-circle (a 90° angle).
                   Š Fold this shape in half one more time.
                   Š Unfold the paper completely. The new creases have divided the                          O
                   circle into eight equal parts. Each small angle at point O is 45°,

                   which is an acute angle.

              measuring an angle using a protractor


              Let us measure the given ∠AOB using a protractor. To measure an angle                               B
              using a protractor, follow the steps given below.
              Step 1: Place the centre point of the protractor on the vertex O of the angle.                         A

              Step 2: Adjust  the  protractor  in  such  a  way  that  the  baseline  coincides      O
                       with the arm OA of the angle.

                                            Outer
                                             Scale         70  80  90  100  110
                                                                90
                                                         60 120 110 100  80  70  120  B
                                                       50              60  130
                                                     40  140  130        50  40 140  Inner
                                                    30  150                 30 150  Scale
                                                   20  160                    20  160
                                                  10  170                     10  170
                                                  0  180        O              0  180  A
              Step 3: Check the scale where the baseline arm points to 0°.

              Step 4: Read the measure of the angle where the other arm crosses the scale.

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