Question: 9. Use the following figure to answer the questions.
a. What angles were bisected in the construction?
∠ADB and ∠CDF
b. For the angles you identified in part a, identify their angle measures?
∠ADB = 108°
∠CDF = 81°
1. **State the problem:**
We are given a figure with rays DA, DX, DB, DG, and DC/DF from vertex D, and we need to identify which angles were bisected and find their measures.
2. **Identify the bisected angles:**
The problem states that the angles bisected are $$\angle ADB$$ and $$\angle CDF$$.
3. **Given angle measures:**
- $$\angle ADB = 108^\circ$$
- $$\angle CDF = 81^\circ$$
4. **Explanation:**
Bisecting an angle means dividing it into two equal parts. The figure shows arcs and rays indicating that $$\angle ADB$$ and $$\angle CDF$$ were bisected.
5. **Final answers:**
- The bisected angles are $$\angle ADB$$ and $$\angle CDF$$.
- Their measures are $$108^\circ$$ and $$81^\circ$$ respectively.