QuestionFind the measures of angles $m \angle A B D$, $m \angle C B D$, and $m \angle A B C$ given that $\overrightarrow{B D}$ bisects $\angle A B C$.

Studdy Solution
We don't know the exact values of $x$ and $\angle A B C$ yet, but we know their relationship $\angle A B C$ is twice as large as $\angle A B D$ and $\angle C B D$.
To find the exact values, we would need more information about the triangle, such as the measure of another angle or the length of a side.
Without additional information, we can only say that$$m \angle A B D = m \angle C B D = x$$$$m \angle A B C =2x$$