Respuesta :

Answer:

  y = 2

Step-by-step explanation:

PQ is a diameter, so arc PQ has a central angle of 180°. Inscribed angle PRQ has a measure half that, or 90°. (An inscribed triangle with one side a diameter is a right triangle.)

Then you can write ...

  53y -16 = 90

  53y = 106 . . . . . add 16

  y = 106/53 = 2 . . . . divide by the coefficient of y

y = 2