Question

which answer choice is it?

Answer 1

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 = $\frac{82}{3}$

Then

∠ BOC = 2x = 2 × $\frac{82}{3}$ = $\frac{164}{3}$ ≈ 54.67° ( to 2 dec. places )