Angle abc is a straight angle. m∠dbc = 130° and be bisects ∠abd.

what is meba?

The

we observe that m∠DBC = 130° 

we should find the value of mEDB to answer this question
Angle ABC is a straight angle, so m ABC= 180°, but 
mABD  + m∠DBC = 180° (look at the figure)

so mABD= 180° - m∠DBC = 180 - 130 = 50°

therefore, mABD= 50°,
and BE bisects ∠ABD imiplies  mEBA = mEDB, and mABD=  mEBA + mEDB= 50°, it does mean 2x mEBA = 50°

and from where mEBA = 50°/2=25°