the answer:
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°
