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

Since \( \overrightarrow{F H} \) bisects \( \angle E F G \), it means that it divides the angle into two equal parts. Given that \( m \angle E F G = 119^{\circ} \), we can find the measures of the two angles formed by the bisector. To find \( m \angle E F H \) and \( m \angle G F H \), we can use the following formula: \[ m \angle E F H = m \angle G F H = \frac{m \angle E F G}{2} \] Calculating that gives: \[ m \angle E F H = m \angle G F H = \frac{119^{\circ}}{2} = 59.5^{\circ} \] Putting it all together: \( m \angle E F H = 59.5^{\circ} \) \( m \angle G F H = 59.5^{\circ} \)