\( \overrightarrow{F H} \) bisects \( \angle E F G \). Find the indicated angle measures. \( m \angle E F G=119^{\circ} \). Find \( m \angle E F H \) and \( m \angle G F H \). \( m \angle E F H=\square^{\circ} \) \( m \angle G F H= \)

Since \( \overrightarrow{F H} \) bisects \( \angle E F G \), we know that it divides the angle into two equal parts. Given that \( m \angle E F G = 119^{\circ} \), we can find \( m \angle E F H \) and \( m \angle G F H \) by dividing the total angle by 2. So, we calculate: \[ m \angle E F H = m \angle G F H = \frac{m \angle E F G}{2} = \frac{119^{\circ}}{2} = 59.5^{\circ} \] Thus, the measures are: \( m \angle E F H = 59.5^{\circ} \) \( m \angle G F H = 59.5^{\circ} \)