Answer:
The answer to your question is:
x = 10
∡BOC = 52°
Step-by-step explanation:
Data
∡AOB = ∡COD = 25°
∡BOC = (4x + 12)°
∡AOD = 102°
Process
∡AOD = ∡AOB + ∡BOC + ∡COD
102° = 25° + 4x + 12 + 25 Solve for x
102 - 25 - 12 - 25 = 4x
4x = 40
x = 40/4
x = 10
∡BOC = 4(10) + 12
= 40 + 12
= 52°
