Page 137 - Math_Genius_V1.0_C5_Flipbook
P. 137

E:\Working\Focus_Learning\Math_Genius_5_(05-10-2023)\Open_Files\CHAP_06
              \\November 23, 2023 10:09 AM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74





                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

              Angles are of different types.

               1.    Acute angle: An angle whose measure is less than 90° is called                       A
                    an acute angle.
                    In the alongside figure, ∠ABC = 50°

                    Thus, ∠ABC is an acute angle.                                                    50°
                                                                                                 B              C
                                                                                                     Acute angle

               2.    right angle: An angle whose measure is 90° is called  a right               X
                    angle.
                    In the alongside figure, ∠XYZ = 90°

                    Thus, ∠XYZ is a right angle.                                                     90°
                                                                                                  Y              Z
                                                                                                       Right angle


               3.    Obtuse angle: An angle whose measure is more than 90° and                  P
                    less than 180° is called an obtuse angle.
                    In the alongside figure, ∠PQR = 120°
                                                                                                       120°
                    Thus, ∠PQR is an obtuse angle.                                                    Q            R
                                                                                                         Obtuse angle

               4.    Straight angle: An angle  which  is of 180° is called  a
                    straight angle.                                                                 180°

                    In the alongside figure, ∠COD = 180°                                 C           O           D
                    Thus, ∠COD is a straight angle.                                             Straight angle


               5.    reflex angle: An angle greater than 180° and less than 360° is             R
                    called a reflex angle.
                    Here, ∠ROK = 250°.

                    So, ∠ROK is a reflex angle.
                                                                                                     O            K
                                                                                                    250°
                                                                                                        Reflex angle

               6.    Complete  angle: An angle  whose measure  is equal  to  360° is
                    called a complete angle.                                                     360°
                    The alongside angle measures 360°.                                                            X
                                                                                                Y               Z
                    Thus, ∠XYZ is a complete angle.                                                    Complete angle


              Mathematics-5                                                                                          135
   132   133   134   135   136   137   138   139   140   141   142