In the figure, AC and BD intersect at F such that FB = FC. It is given
that ED // AB, CDE = 124 and ABC = 118
.

It looks like you are describing a geometry problem involving angles and intersecting lines. From what you've shared:

- \( AC \) and \( BD \) intersect at \( F \).
- \( FB = FC \) (which suggests that \( F \) is the midpoint of \( BC \), indicating that \( BF = FC \)).
- \( ED \parallel AB \) (indicating that \( ED \) and \( AB \) are parallel).
- \( \angle CDE = 124^\circ \).
- \( \angle ABC = 118^\circ \).

To proceed, it would help if you could clarify the exact question you're asking about the figure. Are you trying to find an unknown angle, prove something, or solve for a length?

Let me know how you'd like to proceed, and feel free to share a diagram or clarify any additional details! 

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**Related Questions for Further Exploration:**
1. How do parallel lines like \( ED \parallel AB \) affect angle relationships in intersecting lines?
2. How can you use properties of angles in parallel lines to find unknown angles in the figure?
3. What is the relationship between vertical angles when two lines intersect?
4. How do you use angle sum properties in a triangle to find unknown angles?
5. How can the midpoint condition \( FB = FC \) help in solving for unknown distances?

**Tip:** When working with parallel lines and angles, remember that alternate interior angles and corresponding angles can be used to find unknown angles efficiently!

In the figure, AC and BD intersect at F such that FB = FC. It is given that ED // AB, ∠CDE = 124° and ∠ABC = 118°.

Explore a geometry problem involving intersecting lines, parallel lines, and angle relationships. This problem uses key concepts like the midpoint theorem, alternate interior angles, and corresponding angles to find unknown angles. Ideal for high school students in Grades 9-11.

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