Answer:
We choose D
Step-by-step explanation:
Given that:
- ∠BOA = (3x -28) degrees
- ∠COD = (66 -x) degrees
- ∠BOC = 90 degrees
As we know that ∠BOA + ∠COD + ∠BOC= 180 degrees because AD is a straight line, so we have:
(3x -28) + (66-x) +90 = 180
<=> 2x = 52
<=> x = 26 degrees.
=> ∠BOA = 3*26 - 28 = 50 degrees
As we can see that, ∠BOA = ∠DOE (The properties of two straight lines intersect)
<=> ∠DOE = 50 degrees
Once again, the AD is a straight line, so we have:
∠DOE + ∠AOE = 180
<=> ∠AOE = 180 - ∠DOE
<=> ∠AOE = 180 - 50 = 130 degrees
We choose D
