These are really algebra problems pretending to be geometry.
11. ACE and BEC are the same angle if I understand the question, so
6x - 27 = 8x + 11
-2x = 38
x = -19
AEC=BEC = 6(-19)-27 = -141
check: 8(-19)+11 = -152 + 11 = -141 good
Answer: -141 (degrees I guess, though it's not really specified)
13.
We have
ABD + DBC = ABC
3x+1 + 4x - 7 = 85
7x = 91
x = 13
ABD = 3x+1 = 3(13)+1 = 40
Answer: 40 (degrees I guess)
