126°
设∠ABC度数为X,则由题意得
(5/7)x - (1/2)x = 27,
解得
x = 126没明白！急急急急急急急急急急急急急急急急急急急急急急急急急急急急急急∵BD平分∠ABC，∴∠ABD=∠DBC = 1/2∠ABC∵BE分∠ABC成2:5∴∠ABE : ∠EBC = 2:5(反过来一样)∵∠ABE + ∠EBC = ∠ABC∴∠EBC = 5/7∠ABC∵∠DBE = ∠EBC - ∠DBC = (5/7 - 1/2)∠ABC，∠DBE=27°∴∠ABC = 27°/(5/7 - 1/2) = 27°/(3/14)= 126°