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

Question

UpStudy AI · Accepted Answer

To find the measures of angles $$ m \angle E F H $$ and $$ m \angle G F H $$, we can use the property of angle bisectors.

1. **Understanding the problem**: We know that $$ \overrightarrow{F H} $$ bisects $$ \angle E F G $$. This means that it divides the angle into two equal parts.

2. **Given information**: 
   - $$ m \angle E F G = 119^{\circ} $$

3. **Using the angle bisector property**: Since $$ \overrightarrow{F H} $$ bisects $$ \angle E F G $$, we can express the measures of the two angles as follows:
   $$
   m \angle E F H = m \angle G F H = \frac{m \angle E F G}{2}
   $$

4. **Calculating the measures**:
   $$
   m \angle E F H = m \angle G F H = \frac{119^{\circ}}{2} = 59.5^{\circ}
   $$

Thus, the measures of the angles are:
- $$ m \angle E F H = 59.5^{\circ} $$
- $$ m \angle G F H = 59.5^{\circ} $$

Final answers:
- $$ m \angle E F H = 59.5^{\circ} $$
- $$ m \angle G F H = 59.5^{\circ} $$
$$ m \angle E F H = 59.5^{\circ} $$ and $$ m \angle G F H = 59.5^{\circ} $$.

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

Real Tutor Solution

Answer

Solution

Bonus Knowledge

Related Questions

Latest Geometry Questions