Becuase this is a straight angle, we know that the total amount of the degrees adds up to 180. We can write an equation to help solve for Angle EBA
(180-130)/2=x
This is because we know angle DBC is 130, so when that 's subtracted from the original amount we are left with 50 degrees for angle ABD. Then, since EB goes through the middle of it, we know that Both ABE and EBD are equal to half of 50 which is 25.
Therefore, <EBA is equal to 25 degrees