a) Since c is 22 and d is 90, we can make an equation like: 22+90+x = 180. X will be equal to 68. Then from 90 minus the 68 since you need to find angle ABD not CBD. This will give you 22.
b)Do the same thing above except change angle c from 22 to 23. 23+90+x = 180. x = 67. 90-67 = 23, so ABD equals 23.
c) I am not sure if this would be the answer but since the two triangles are similar, their corresponding angles and sides have to be congruent. Angle c and angle ABD are one of the three corresponding angles. So, the angles must be the same.