Respuesta :

Answer:

  B  84

Step-by-step explanation:

Angles P and R are complementary, so ...

  (2x -6) + (3x -24) = 90

  5x -30 = 90 . . . collect terms

  x -6 = 18 . . . . . divide by 5

  x = 24 . . . . . . . add 6

∠P = (2x-6)° = (2·24 -6)° = 42°

The measure of arc SR is twice the measure of ∠P, so is ...

  arc SR = 2·42° = 84°