Question

What is the measure of arc BDA? To get full points you will need to explain, in paragraph form, how you found the measure of angle AOB, the relationship between the measure of AOB and the measure of arc AB, then how you found the measure of arc BDA.

Answer 1

Comment
If you can assume That COA has 3 point on the same straight line and that BOE are three points on the same straight line then <AOE = <COB because they are vertically opposite.

Step One
Find angle BOA
<BOC + <COD + <DOE + <EOA + BOA = 360o Substitute values for angles
57 + 95 + 28 + 57 + BOA = 360                           Add the left side  
237 + <BOA= 360                                                Subtract 237
<BOA = 360 - 237
<BOA = 123

Step Two
Determine Arc BDA
These angles are all central angles. They will add to the desired arc.
BDA + BOA = 360
BDA + 123 = 360 Subtract 123 from both sides.
BDA = 360 - 123
BDA = 237  <<<<<<<<<<<< Answer