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Matematik  Tingkatan 1   Bab 9 Poligon Asas

                  H    Hitung nilai x dan y dalam setiap rajah yang berikut.    TP 3   ARAS S
                      Calculate the values of x and y in each of the following diagrams.

                    Contoh                           1.                                2.
                                                               x                               y
                                   x                         y                                    2x      x
                   50°         y                                     110°

                          Sudut bertentangan dalam segi                                   2x + x = 180°
                 x = 50°     empat selari adalah sama.  x = 110°
                          Opposite angles in a                                               3x = 180°
                          parallelogram are equal.     y + 110° = 180°                        x  = 60°
                                                                    o
                 y + 50° = 180°    Hasil tambah dua          y  = 180  – 110°            y  = x
                      y  = 180° – 50°   sudut bersebelahan        = 70°
                                   ialah 180 . o                                            = 60°
                        = 130°     Sum of two
                                   adjacent angles is
                                      o
                                   180 .


                  I    Hitung nilai x dalam setiap rajah yang berikut.     TP 3   ARAS S
                      Calculate the value of x in each of the following diagrams.

                    Contoh                           1.                                2.
                                                         E                 D                          E
                            D                               48°        66°
                                                                                                     78°
                      E   105°                                           x
                        125°                                    123°   B    C               15°     225°
                                                                A                                  B        x
                     x         50°                                                                         C   D
                  A   B            C                                                      A

                                    Hasil tambah sudut
                 /EBC = 360° – 125° – 105° – 50°       /ABD = 360° – 123° – 48° – 66°    /BCE = 360° – 15° – 225° – 78°
                        = 80°       pedalaman dan            = 123°                            = 42°
                                    sudut peluaran
                 x + 80° = 180°     ialah 180 .          x + 123° = 180°                 x + 42° = 180°
                                          o

                      x  = 180° – 80° Sum of interior        x = 180° – 123°                  x  = 180° – 42°
                        = 100°      angle and exterior           = 57°                          = 138°
                                    angle is 180 . o

                    Contoh                           3.                                4.
                                                             80°
                                                                                                      x
                    60°
                                                                       x
                                                                                                    117°

                    x
                                 Sudut bertentangan      x + 80°  = 180°                  x + 117°   = 180°
                                 Opposite angles
                                 = 60°                      x  = 180° – 80°                     x  = 180° – 117°
                  x + 60° = 180°                               = 100°                              = 63°
                       x  = 180° – 60°
                         = 120°


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