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the answer is b

all work is shown and pictured

Option B.

Step-by-step explanation:

It is given that m∠AOC = 85°, m∠BOC = (2x + 10) and m∠AOB = (4x - 15)

From the picture attached, m∠AOC = m∠BOC + m∠AOB

Now we replace the values of angles as given

85 = 2x + 10 + 4x - 15

6x - 5 = 85

6x = 85 + 5

6x = 90

x =

x = 15

Since m∠BOC = 2x + 10

By replacing x = 15

m∠BOC = 2(15) + 10

              = 30 + 10

              = 40°

And ∠AOB = 4x - 15

By replacing x = 15

∠AOB = 4(15) - 15

          = 60 - 15

          = 45°

Therefore, Option B is the answer.

step-by-step explan mxfcg'k; uafwgzfgjhklhgation: