afranklin1383 afranklin1383
  • 22-09-2021
  • Mathematics
contestada

which answer choice is it?

A 54.67 degrees

B 35.33

C 90 degrees

D 27.33 degrees

which answer choice is it A 5467 degrees B 3533 C 90 degrees D 2733 degrees class=

Respuesta :

jimrgrant1 jimrgrant1
  • 22-09-2021

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 )

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