Answer:
....The parallelogram is a quadrilateral, so it has 4 angles whose sum is equal to 360°.
Its opposite angles (face to face) have the same measure.
∠DAB=∠BCD=87° each
∠ADC=∠DCB = (360-87*2)/2 =93° each
The bisector is the half-line that divides an angle into two equal angles
∠ABE=∠EBC=∠ABC/2
∠EBA=∠EBC=93/2=46.5° each
→∠EBA=46.5°
Explanation: