https://file.aiquickdraw.com/mathbot/file/1726542465168yqrommb8.jpg

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

### Step-by-Step Solution:
1. **Angle d**:
   - The angle labeled \( 20^\circ \) and \( d \) are vertically opposite angles. Since vertically opposite angles are always equal, we conclude:
     \[
     d = 20^\circ
     \]

2. **Angle e**:
   - The angle labeled \( 134^\circ \) and \( e \) are supplementary angles (they form a straight line together). Supplementary angles sum to \( 180^\circ \), so:
     \[
     e + 134^\circ = 180^\circ
     \]
     Solving for \( e \):
     \[
     e = 180^\circ - 134^\circ = 46^\circ
     \]

3. **Angle f**:
   - The angles \( f \) and \( 134^\circ \) are vertically opposite angles, which means they are also equal. Thus:
     \[
     f = 134^\circ
     \]

### Final Answer:
- \( d = 20^\circ \)
- \( e = 46^\circ \)
- \( f = 134^\circ \)

Would you like a detailed breakdown of any step?

Here are 5 related questions:
1. What are alternate interior angles, and how do they differ from vertically opposite angles?
2. Can you find supplementary angles when multiple lines intersect at a point?
3. How do you find missing angles in a triangle when given two angles?
4. What is the difference between complementary and supplementary angles?
5. How are exterior angles of polygons related to their interior angles?

**

Find the measure of the missing angles: d, e, and f.

Solve for missing angles using vertically opposite and supplementary angles theorems. This problem involves angle relationships and helps students understand how to apply these concepts in geometry. Suitable for Grades 6-8.

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