https://file.aiquickdraw.com/mathbot/file/1727187871355bipesaei.jpg

This diagram shows several intersecting lines forming angles. We see:

- Two lines labeled \(e\) and \(f\), which intersect at an angle of \(47^\circ\).
- A horizontal line labeled \(d\), which forms a right angle (90°) with another vertical line. The vertical line intersects line \(f\) at a right angle.

### Identifying the angles:
1. The given angle at the intersection of lines \(e\) and \(f\) is \(47^\circ\). 
2. Since \(e\) and \(f\) form a straight line, the angle adjacent to \(47^\circ\) will be supplementary to it. This means the angle between line \(e\) and line \(f\) on the other side will be:
   \[
   180^\circ - 47^\circ = 133^\circ
   \]
3. Line \(d\) is perpendicular to the vertical line, so all angles around that intersection point are \(90^\circ\).

Would you like to explore further angles, or understand specific relationships between the lines? Let me know how I can assist!

Here are some questions to expand:
1. What is the sum of angles around any intersection point?
2. How can you find the angle formed between line \(d\) and line \(e\)?
3. How would adding more intersecting lines affect the angle relationships?
4. How can we prove two lines are perpendicular based on their angles?
5. What are supplementary and complementary angles, and how do they apply here?

**Tip:** Remember that angles on a straight line always add up to 180°, and angles around a point add up to 360°.

Identify the angles formed by the intersection of lines e, f, and d, where e and f form a 47° angle, and line d is perpendicular to the vertical line.

Explore how to identify angles formed by intersecting lines. Learn about supplementary angles, right angles, and their relationships in this geometry problem suitable for Grades 6-8. Includes key concepts, formulas, and step-by-step explanations.

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