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5.3 Solving angle problems



               2  PQS and RQT are straight lines.        P                        R
                  a  Work out the value of c.            68°                    86°
                  b  Work out the value of d.
                                                                      Q
                                                                     c°

                                                        54°
                                                                                       d°
                                                      T
                                                                                           S



               3  ABCD is a square.                                           C
                 DEF is an equilateral triangle.
                 Work the size of the angle labelled d°.           B
                                                                                           E
                                                                                 D  d°

                                                                             25°    40°
                                                                         A               F


               4  O is the centre of the circle.                               B
                 AB is a diameter.
                 Calculate the values of a and b.                          b°
                                                                      O

                                                                     54°
                                                                 a°
                                                               A
                                                                         C




               5  This shape has a line of symmetry through W.                 W
                 Calculate the value of w.                                     w°
                                                                        V             X
                                                                           105°





                                                                         Z            Y


               6  PQR is a straight line.                P         Q                 R
                 QRST is a parallelogram.                        x°   y°           z°
                  a  Work out the value of x.
                  b  Work out the value of y.
                  c  Work out the value of z.
                                                                73°         46°
                                                              T                  S



       46      5 Shapes
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