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Circles


                                   R                   4.  Calculate the value of  x in the
                                                          following figure.
                                  x
                                                           A

                                  80º
          FOR ONLINE READING ONLY
                           Q           S
                                                                             B
                                                               3x                  x
                                                           E              D               C

                     P
                                      3x               5.  In a cyclic quadrilateral WXYZ, the
                                                          side  XY  is extended to point P. If
                                          T
                                                           ∠  PYZ 2y=  +  10°   and the opposite
               2.  Find the angles marked by the          interior angle  ZWX 5y∠  =  −  20°  ,
                   letters x, y, and z in the following   determine the value of y.
                   figure.
                                                       6.  Calculate the values of x and y in
                                                          the following figure.
                                      y
                         75º
                                                                  x


                                       x                                        3y
                            110º


                             z                                 y

                                                                                 120º
               3.  Find the values of a, b, c, and d in
                   the following figure.               7.  In the following figure, prove that
                                                           ∆  ACE   ∆  DCB

                                 d                         A                                        Mathematics for Secondary Schools
                                  c

                                                                           B
                                234°

                                                                                        C
                                b
                                                       E                 D


                                a




                 Student\s Book Form Three         135



                                                                                          18/09/2025   09:59:44
     MATHEMATIC F3 SB.indd   135                                                          18/09/2025   09:59:44
     MATHEMATIC F3 SB.indd   135
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