Answer:
see explanation
Step-by-step explanation:
∠AOB + ∠BOC = ∠AOC← substitute values
x + 3 + 4x - 7 = 2x + 11, that is
5x - 4 = 2x + 11 ( subtract 2x from both sides )
3x - 4 = 11 ( add 4 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Thus
∠AOB = x + 3 = 5 + 3 = 8°
∠AOC = 2x + 11 = (2 × 5) + 11 = 10 + 11 = 21°
∠BOC = 4x - 7 = (4 × 5) - 7 = 20 - 7 = 13°
