Question

Angle ABC is a straight angle. M

Answer 1

The sum of angle on staight line is 180 degree.

Determine the sum of angle on a straight line.

`\begin{gathered} \angle ABD+\angle DBC=180^(\circ) \\ \angle ABD+130^(\circ)=180^(\circ) \\ \angle ABD=50^(\circ) \end{gathered}`

BE bisects the angle ABD means that,

`\angle EBA=\angle EBD=(\angle ABD)/(2)`

Determine the measurement of angle EBA.

`\begin{gathered} \angle EBA=(50^(\circ))/(2) \\ =25^(\circ) \end{gathered}`

So answer is 25 degree.