QuestionFind $m \angle F L H$ given $m \angle F L G=(14 x+5)^{\circ}$ and $m \angle H L G=(17 x-1)^{\circ}$.

Studdy Solution
Since $\overrightarrow{ G}$ bisects $\angle F L H$, the measure of $\angle F L H$ is twice the measure of either $\angle F L G$ or $\angle H L G$ (since they are equal). So$$m \angle F L H =2 \cdot m \angle F L G =2 \cdot33^{\circ} =66^{\circ}$$So, $m \angle F L H =66^{\circ}$.