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


A.15°
B.30°
C.48°
D.132° 

To apply the **Vertical Angles Theorem**, we first need to understand what the theorem states: 

- **Vertical angles** are the angles that are opposite each other when two lines intersect.
- These angles are always **congruent**, meaning they have the same measure.

Now, if the diagram you refer to shows two intersecting lines, then angle ∠BFA is vertically opposite to another angle (which is not yet provided in your description). The theorem tells us that these two angles are equal.

Here’s a step-by-step process based on this theorem:

1. Identify the vertical angle to ∠BFA in the diagram.
2. Set the measure of ∠BFA equal to the measure of its vertical counterpart.
3. Solve for the measure of ∠BFA using the given value of the other angle.

Since the diagram is not shown and you are given multiple-choice options (15°, 30°, 48°, 132°), you must compare these options with the provided or implied information from the diagram.

### If you could provide the measure of the angle opposite ∠BFA or a more detailed description of the diagram, I can assist you further in selecting the correct option.

Would you like more details or clarification on this process?

Here are 5 questions related to the concept:

1. What are vertical angles?
2. How do vertical angles relate to each other in terms of measurement?
3. Can you always assume angles in a diagram are vertical angles?
4. How does one differentiate between adjacent and vertical angles?
5. How can the vertical angles theorem be used in geometry proofs?

**Tip**: When solving for angles, always look for relationships like vertical, complementary, or supplementary angles to simplify the problem.

Apply the vertical angles theorem to solve for the m∠BFA in the diagram. A.15° B.30° C.48° D.132°

Learn how to apply the Vertical Angles Theorem to solve for the measure of ∠BFA. Understand the relationship between vertical angles and use multiple-choice options (15°, 30°, 48°, 132°) to find the correct answer. This problem is ideal for students in Grades 7-10 studying geometry.

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