NVM, solved. Answer is 90 degrees.

Since AD = DC....then angles CAD and  ACD are equal

And angle ACD = 40 = angle CAD

So....angle  CDA =  180 - 40 - 40 =  100

So angle ADB = 180 - 100 =  80

And BD = BA.....so angles BAD and ABD are equal

So angle BAD =   [ 180 - angle ADB ] / 2 =  [ 180 - 80] / 2 = 100/ 2 = 50

So angle BAC = angle CAD + angle BAD  =  40 + 50  =  90°