Respuesta :

Answer:

The answer to your question is:

                                                     x = 43°, y = 137° and z= 43°

Step-by-step explanation:

-If lines L and M are parallel, that means that 43° and z are corresponding angles and they measure the same.

                                           z = 43°

- y and 43° are supplementary angles , so

                                          y + 43 = 180

                                          y = 180 - 43

                                          y = 137°

- x and z are vertical angles, so they measure the same

                                          x = z = 43°