Apply the vertical angles theorem to solve for the m∠BFA in the diagram.

a. 15 degrees  b.30 degrees c.48 degrees  d.132 degrees

The **Vertical Angles Theorem** states that when two lines intersect, the opposite (or vertical) angles are congruent. This means that two angles that are directly across from each other at the intersection of two lines are equal.

If you have a diagram where angle \( BFA \) is vertical to another angle, you can set their measures equal. To solve for \( m∠BFA \), you need to know the measure of the angle vertical to it.

Please provide the measure of the angle vertical to \( ∠BFA \), or upload the diagram for more specific guidance.

Would you like more detailed explanations on this? Here are 5 related questions:

1. What is the definition of vertical angles in geometry?
2. How can you identify vertical angles in a diagram?
3. What are supplementary angles, and how do they relate to intersecting lines?
4. Can vertical angles ever be unequal? Why or why not?
5. How does the Vertical Angles Theorem relate to other angle theorems?

**Tip:** When solving for unknown angles, always check for relationships like congruency or supplementary angles based on the lines' intersections.

Apply the vertical angles theorem to solve for the m∠BFA in the diagram. a. 15 degrees b. 30 degrees c. 48 degrees d. 132 degrees

Learn how to apply the Vertical Angles Theorem to solve for the measure of angle BFA in a geometric diagram. Explore how intersecting lines create congruent vertical angles and how to identify them for a complete solution. Suitable for students in Grades 8-10.

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