Question

Please help me figure this out

Answer 1

By my calculations it is about 104

Answer 2

notice the picture below

thus, using the "far arc - near arc" theorem $\bf \measuredangle A=\cfrac{\widehat{BDC}-\widehat{BC}}{2}$

now, we know what arcBC is, what's arcBDC?  well, keep in mind, a circle only has 360°, so if arcBDC is just 360 - arcBC