Answer:
A
Step-by-step explanation:
∠ AOC = 90° and
∠ AOB + ∠ BOC = ∠ AOC , that is
x + 8 + 2x = 90
3x + 8 = 90 ( subtract 8 from both sides )
3x = 82 ( divide both sides by 3 )
x = [tex]\frac{82}{3}[/tex]
Then
∠ BOC = 2x = 2 × [tex]\frac{82}{3}[/tex] = [tex]\frac{164}{3}[/tex] ≈ 54.67° ( to 2 dec. places )
