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Steps to finding the number of degrees for angle d

To find the number of degrees for angle **d** in this diagram, you can use the following steps:

1. **Identify angle relationships**: Notice that angle **d** and the given angle (108°) form a linear pair. This means they are supplementary because they lie on a straight line.

2. **Use the supplementary angle rule**: Two angles that form a linear pair add up to 180°. Therefore, the sum of angle **d** and the given 108° angle must be 180°.

   \[
   d + 108^\circ = 180^\circ
   \]

3. **Solve for d**: Subtract 108° from 180° to find the measure of angle **d**.

   \[
   d = 180^\circ - 108^\circ = 72^\circ
   \]

So, angle **d** is **72°**.

Would you like more details or have any questions on these steps? 

Here are 5 related questions for deeper understanding:
1. How do we know that angles d and the 108° angle are supplementary?
2. What is the relationship between vertical angles in the diagram?
3. How do we calculate angle g or h based on the diagram?
4. What are alternate interior angles and how can they be used here?
5. How do we confirm the total sum of angles around a point?

**Tip:** Linear pairs of angles always sum to 180°, and this property is useful in many geometry problems involving straight lines!

Steps to finding the number of degrees for angle d.

Learn how to solve for angle d in a linear pair where the other angle is 108°. This problem demonstrates the use of supplementary angles and linear pair theorems, ideal for middle school geometry students (Grades 6-8).

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