To solve this problem, follow these steps:

Tools Needed:

• A ruler
• A protractor
• A pair of compasses

Step 1: Draw Angle ABC

1. Use a protractor to draw ∠ABC = 130° as shown.
   • Place the protractor at point B, align it with one arm (BA), and mark the other arm (BC) at 130°.
   • Extend both arms (BA and BC) using a ruler.

Step 2: Draw Line BD to Bisect ∠ABC

1. Use your compass:

   • Place the compass point at point B and draw an arc that intersects both arms (AB and BC). Label these intersection points as X and Y.

2. Without changing the compass width:

   • Place the compass at point X and draw a small arc inside the angle.
   • Place the compass at point Y and draw another small arc inside the angle to intersect the first arc. Label the intersection of these two arcs as point Z.

3. Draw line BD:

   • Use the ruler to connect point B to point Z. This is the bisector of ∠ABC.

Step 3: Measure CD

1. Measure the length of CD:
   • Use a ruler to measure CD to 1 decimal place.

Let me know if you need more clarification! Here are five follow-up questions and a tip:

1. What is the purpose of bisecting an angle in geometry?
2. How do you verify that the angle bisector is accurate?
3. What are other methods for angle bisecting, aside from using a compass and ruler?
4. How can angle bisectors be used in real-world applications?
5. What is the mathematical formula to calculate lengths in a bisected triangle?

Tip: When using a compass, ensure its width is consistent to maintain accuracy.