https://file.aiquickdraw.com/mathbot/file/17284927942107mfmx28q.jpg

Given the diagram, we have the following information:

- \( \overline{BD} \) and \( \overline{EG} \) are parallel lines.
- \( m \angle EFH = 125^\circ \).

We want to find \( m \angle EFC \).

### Solution
Since \( \overline{BD} \parallel \overline{EG} \) and \( \overline{AF} \) is a transversal, the corresponding angles are equal. \( \angle EFH \) and \( \angle EFC \) are corresponding angles.

Therefore, \( m \angle EFC = m \angle EFH = 125^\circ \).

So, the measure of \( \angle EFC \) is:

\[
m \angle EFC = 125^\circ
\]

Do you have any questions, or would you like further details?

### Related Questions:
1. What are corresponding angles, and why are they equal in parallel lines?
2. How do we identify transversal lines in a diagram?
3. Can you find other corresponding angles in the given diagram?
4. What would be the measure of \( \angle EFG \) if \( \angle EFH = 125^\circ \)?
5. If \( \overline{EF} \) and \( \overline{GH} \) were also parallel, what other relationships could be found?

**Tip:** When dealing with parallel lines and a transversal, identifying angle pairs like corresponding, alternate interior, and alternate exterior angles is crucial for solving such problems.

If BD and EG are parallel lines and m∠EFH = 125°, what is m∠EFC?

Solve the problem where BD and EG are parallel lines, and m∠EFH = 125°. Learn how to find m∠EFC using the Corresponding Angles Theorem. This problem introduces key concepts related to parallel lines and transversal angles, suitable for Grade 7 students.

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