## Elementary Geometry for College Students (7th Edition) Clone

Assume $\overrightarrow{\rm BD}$ bisects $\angle$ABC. Then, the angles formed, $\angle$ABD and $\angle$DBC, would be congruent. But it is given that $\angle$ABD $\ncong$ $\angle$DBC, which leas to a contradiction. Thus, the assumption is false and it follows that $\overrightarrow{\rm BD}$ does not bisect $\angle$ABC.