The sum of angle on staight line is 180 degree.
Determine the sum of angle on a straight line.
[tex]\begin{gathered} \angle ABD+\angle DBC=180^{\circ} \\ \angle ABD+130^{\circ}=180^{\circ} \\ \angle ABD=50^{\circ} \end{gathered}[/tex]
BE bisects the angle ABD means that,
[tex]\angle EBA=\angle EBD=\frac{\angle ABD}{2}[/tex]
Determine the measurement of angle EBA.
[tex]\begin{gathered} \angle EBA=\frac{50^{\circ}}{2} \\ =25^{\circ} \end{gathered}[/tex]
So answer is 25 degree.
