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In this problem, you need to find the measures of the missing angles labeled \( e \), \( f \), and \( d \).

Given:
1. The angle of 73° is marked at the intersection of two lines.
2. The lines form vertical angles and a right angle at \( d \).

### Solution:
1. Since angles \( e \) and 73° are vertical angles, they are equal. Therefore, \( e = 73° \).

2. Since angles \( e \) and \( f \) are on a straight line (forming a linear pair), they must add up to 180°. Thus:
   \[
   f = 180° - e = 180° - 73° = 107°
   \]

3. Angle \( d \) is a right angle, so \( d = 90° \).

### Summary:
- \( e = 73° \)
- \( f = 107° \)
- \( d = 90° \)

Would you like further details on the angle relationships used here? 

Here are five related questions to delve deeper:
1. How do vertical angles work and why are they equal?
2. What is a linear pair of angles, and why do they sum to 180°?
3. Can you explain alternate interior angles and how they might relate to this type of problem?
4. How would you solve if the given angle was in a triangle instead?
5. What role does a right angle play in finding unknown angles?

**Tip:** Remember that vertical angles are always equal, which is a useful property in many geometry problems.

Find the measure of the missing angles labeled \( e \), \( f \), and \( d \). Given that one angle measures 73°.

Solve a geometry problem involving missing angles using the Vertical Angles Theorem and Linear Pair Postulate. Learn how to find unknown angles with detailed step-by-step explanations, suitable for students in Grades 7-9.

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