Question

In the diagram on the left, ∠ABC is a straight angle. Together, ∠ABD and ∠DBC create the straight angle, ∠ABC.

Drag point D to different locations and record the measurements of ∠ABD and ∠DBC in the table. Then complete the third column by finding the sum of the two angles.

Answer 1

I can't interact with a diagram or drag points directly, but I can guide you on how to approach this task.

Here is how you can fill in your table:

1. **Choose a location for point D**.
2. **Measure angles ∠ABD and ∠DBC**. You can do this either using a protractor or a dynamic geometry software that allows you to measure angles.
3. **Record the measurements** in the table.

Here’s a sample format for your table:

| Position of Point D | Measure of ∠ABD | Measure of ∠DBC | Sum of Angles (∠ABD + ∠DBC) |
|---------------------|------------------|-----------------|-------------------------------|
| D1 | xx° | yy° | 180° |
| D2 | xx° | yy° | 180° |
| D3 | xx° | yy° | 180° |

After recording the angles, add the two angle measurements in the third column. You should find that the sum of ∠ABD and ∠DBC is always 180°, since ∠ABC is a straight angle.

Repeat this for different positions of point D, and you should consistently find that the two angles sum to 180°.