ACD by AAS.
We're given m1 = m2, ADC = ADB, and both triangles share AD, so it must be AAS.
ABD by SAS.
We're given AB = AE and AC = AD, but the middle part is a mystery. We're not given BD and CE/ADB and ACE so it's pretty hard to know. Could be SAS or SSS. If you have either BD and CE, it's SSS. If you have ADB and ACE, it's SAS.
Took Geometry 4 years ago so I'm a bit iffy on the second. Forgive me D:
