Answer:
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 = [tex]\frac{90}{6}[/tex]
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.
