Geometry Angle Degrees NEED HELP

G

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Okay, I'm not sure how I'm really going to explaing this problem, but I'll try. It's really confusing, and I'm not sure that I understand it correctly.
Code:
                         106'          F
                                                  65'
                     D                               A

             27'                      O                  62'
                              E
                      C
                                                     B

It's a circle, O being the midpoint, and A, B, C, D, F are points on the circle. E is the intersection of C-F and B-D, the other chords are D-A, A-O, B-O. The (') stands for degrees, since I can't find a degree sign anywhere on my keyboard.

I hope that this makes sense, ask if if doesn't.

Now for the actual problem. I have to find:

m/BOA =
m/BDA=
m/DEF=

I would think, BOA would be 62', BDA = 62', and DEF = 106'. Apart from the fact that that seems too easy, BOA and BDA are totally different angles. How can they be the same measurment? But on the other hand, I have no clue how to solve it if that's the case.

Anyone know? I'd appreciate the help!
 
WHY do you need to FIND angle BOA? It is GIVEN as 62 degrees according to your diagram.

NO, angle BDA is NOT 62 degrees...

Did you draw a circle, and draw the lines with the exact degrees as shown?
Angle BOC = 360 - 65 - 62 - 27 - 106 = 100 degrees.

Go draw Becky me girl...
 
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