Question

which answer choice is it?

A 54.67 degrees

B 35.33

C 90 degrees

D 27.33 degrees

Answer 1

A

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 =
`(82)/(3)`

Then

∠ BOC = 2x = 2 ×
`(82)/(3)` =
`(164)/(3)` ≈ 54.67° ( to 2 dec. places )