Page 153 - Math Skill - 5
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Geometry                                                                                               151

        Step 2:        Starting from 0° of the inner scale, move towards                                  C

                     point  C and note  the  mark on the  rim of the

                     protractor where ray BC  passes.

        Step 3:      Read the mark carefully taking  care of smaller
                     divisions also.

                     Thus, ∠ABC = 65°                                                            B                 A

        Types of Angles

        Based on their measures, angles are classified as follows:                                       12
                                                                             R                                1
        Acute Angle
        An angle whose measure is more than 0° and less than                                    9                  3
        90° is called an acute angle. In the figure, ∠PQR = 50°,                    50°    Q
        which is an acute angle.
                                                                             P
                                           12                                                            6
                            Y
                                                         Right Angle
                                                         An  angle  whose  measure  is  90°,  is  called  a  right
                                   9                3
                      90°                                angle. In the figure, ∠XOY = 90°, which is a right
                                                         angle. A right angle is denoted as ‘ ’ or ‘ ’.
                           O
          X                                6                                                           11  12

        Obtuse Angle                                                                        T

        An angle whose measure is more than 90° and                                                 9              3
        less  than  180°  is  called  an  obtuse angle. In the                   120°
        figure, ∠PST = 120°, which is an obtuse angle.               P               S                      6
                                               12

                                                              Straight Angle
                    180°
                                       9                3     An  angle  whose  measure  is  180°  is  called  a
          L          O          M                             straight angle. In the figure, ∠LOM = 180°, which
                                                              is a straight angle.
                                                6                                                          12
        Reflex Angle                                                                    250°

        An angle whose measure is more than 180° and less than               I         H
        360° is called a reflex angle. In the figure, ∠GHI = 250°                                   9              3
        which is a reflex angle.
                                          12           Complete Angle                       G               6  5

                       360°                            An angle of measure 360° is called a complete angle.
                                    9             3    In the figure, ∠BAC = 360° which is a complete angle.
          C B               A
                                                       Note that the ray  AB rotates completely to overlap on
                                           6
                                                       ray  AC .
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