https://file.aiquickdraw.com/mathbot/file/1729532253706gbybndq2.jpg

Let's analyze the diagram to find the missing angles \( d \), \( e \), and \( f \).

1. **Angle \( d \)** is formed by a horizontal and vertical line and is marked as a right angle (90°). So:
   \[
   d = 90^\circ
   \]

2. **Angle \( e \)** is a vertically opposite angle to the 73° angle. Vertically opposite angles are always equal, so:
   \[
   e = 73^\circ
   \]

3. **Angle \( f \)** is on a straight line with the 73° angle, so \( f \) and 73° are supplementary. The sum of supplementary angles is 180°, thus:
   \[
   f = 180^\circ - 73^\circ = 107^\circ
   \]

### Final answers:
- \( d = 90^\circ \)
- \( e = 73^\circ \)
- \( f = 107^\circ \)

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:
1. What are vertically opposite angles, and how can we use them in other scenarios?
2. Can we find the remaining angles in a triangle if we know two angles?
3. What is the difference between complementary and supplementary angles?
4. How would the angle values change if the original given angle was different?
5. What are alternate interior angles, and how are they related to parallel lines?

**Tip:** When working with angles on straight lines, always check if the angles are supplementary (sum to 180°) or complementary (sum to 90°).

Find the measure of the missing angles d, e, and f in the provided diagram, where angle d forms a right angle with a horizontal and vertical line, and angle e and f are either vertically opposite or supplementary to a 73° angle.

Learn how to find missing angles in a diagram using the concepts of vertically opposite angles and supplementary angles. In this problem, angles d, e, and f are determined by using known geometric properties. This solution is suitable for students in Grades 6-8.

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