Respuesta :

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

Angles AFB and CFE are vertical angles, so have the same measure. That means arc AB has the same measure of arc CE. The latter arc is 27° more than arc DE, which is 90°. So, we have ...

  arc AB = arc CE

  21x -9 = 90 +27

  21x = 126 . . . . . . add 9, collect terms

  x = 6 . . . . . . . divide by 21