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Matematik  Tingkatan 1  Bab 9 Poligon Asas


                  Contoh                          3.                                4.
                                                                                                        x
                            63°

                                                           50°        x                        120°      75°
                        x
                                    43°
               x  = 43° + 63°                        x  = 50° + 50°                         120°  = x + 75°
                 = 106°
                                                       = 100°                           120° – 75°  = x
                                                                                               x  = 45°





               D    Selesaikan masalah berikut.    TP 4   ARAS S
                    Solve the following problems.


                1.   Diberi AEHB dan CEFD ialah garis lurus dan               2.  Diberi ABC, AFE dan DFG ialah garis lurus, cari nilai
                   FE = FH. Cari nilai x dan y.                       w, x, y dan z.
                   Given that AEHB and CEFD are straight lines and FE = FH.    It is given that ABC, AFE and DFG are straight lines,  find
                   Find the values of x and y.                        the values of w, x, y and z.
                                                                                                C
                                  D
                                                                                          B  60°
                                130°  F                                                y
                                                                                   A  w            D
                                                    B                               48°
                                               y
                                                H                                       85°  85°
                                                                                           F
                                60°         105°                                                 48°
                              G         x  E                                         z               x
                                    A                                              G              E
                                             C
                                                                      Dalam segi tiga ADE / In triangle ADE,
                        130°  = /GEF + 60°                             w + 90° + 48° = 180°
                     130° – 60°  = /GEF                                   w + 138°  = 180°
                       /GEF  = 70°                                               w  = 180° – 138°
                                                                                 w  = 42°
                   /FEH  = 180° – 105°
                          = 75°                                       x  = 180° – 48°  atau / or    x  = 90° + 42°
                                                                         = 132°                        = 132°
                   x  = 180° – 70° – 75°
                     = 35°                                             y + y  = 60°   atau / or   /ABD  = 180° – 60°
                                                                         2y  = 60°                     = 120°
                   y  = 180° – 75°
                     = 105°                                               y  = 30°                  y  =   180° – 120°
                                                                                                       = 30°  2
                   atau / or
                                       /AED dan /BEC ialah sudut
                   x + 70° = 105°      bertentang bucu.               Dalam segi tiga AFG / In triangle AFG
                                       /AED and /BEC are
                        x = 105° – 70°  vertically opposite angles.     z + 85° + 48° = 180°
                          = 35°                                           z + 133°  = 180°
                                                                                z  = 180° – 133°
                   y  = /FEA   Oleh sebab / Since  /FHE = /FEH
                     = 105°    Maka/ Hence   /FHB = /FEA                           = 47°


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