Seriously, i don't like when they put "not enough information". i feel like there is something missing.

here is my work
i know that the total of all the angles is 180 so i take that and subtract it by 73
i know that ad is smaller and dc is larger so that's why i picked that option.

correct me if i am wrong. give your own idea : )

Hey there Gary!

If Angle DBC is 73, you do subtract it from 180 to get ABD.

180 - 73 = 107

Angle ABD = 107
Angle DBC = 73

Angle ABD > DBC
or
Angle DBC < ABD

The line BD/DB is the same length in both angles, proving line AD is greater than CD. This is also justified by the fact that lines AB and CB are congruent.

I hope this helps, let me know if there's something wrong about my answer.

I feel like AD would be longer, since DBC is 73, which is less than 90.  Therefore, Ad would be stretched.  I hope you get it right!