https://r2.erweima.ai/mathbot/image/1726064906082qsbwj9s6.jpg

Let's analyze the table from the image to identify the correct answers for each statement.

### 1st Row:
#### Figure 1: \( \angle AOB \)
- **Option A**: \( \angle AOB \) is acute.
- **Option B**: \( \angle AOB \) is obtuse.
- **Option C**: \( \angle BOC \) is obtuse.

Looking at the figure, \( \angle AOB \) is indeed obtuse (greater than 90°), so **Option B** is correct.

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### 2nd Row:
#### Figure 2: Parallel Lines \( AE \parallel BF \)
- **Option A**: \( \angle KAE \) and \( \angle KBF \) are equal.
- **Option B**: \( \angle KAE \) and \( \angle KBF \) are alternate interior angles.
- **Option C**: \( \angle KAE \) and \( \angle KBF \) are corresponding angles.

Since \( AE \parallel BF \), the angles \( KAE \) and \( KBF \) are alternate interior angles. So, **Option B** is correct.

---

### 3rd Row:
#### Figure 3: Angles around a vertex O
- **Option A**: \( \angle SOt \) and \( \angle tOK \) are adjacent.
- **Option B**: Ray \( Ot \) bisects \( \angle SOK \).
- **Option C**: \( \angle SOt \) and \( \angle tOK \) are supplementary.

In this case, \( \angle SOt \) and \( \angle tOK \) are adjacent angles because they share the vertex \( O \) and a common side. Thus, **Option A** is correct.

---

### 4th Row:
#### Figure 4: Parallelogram ABCD
- **Option A**: \( \angle BAD \) and \( \angle BCD \) are supplementary.
- **Option B**: \( \angle ABD \) and \( \angle BCD \) are corresponding angles.
- **Option C**: \( \angle DBA \) and \( \angle BCD \) are equal.

In a parallelogram, opposite angles are equal, and consecutive angles are supplementary. Hence, **Option A** is correct, as \( \angle BAD \) and \( \angle BCD \) are supplementary.

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### Summary of Correct Answers:
1. **B**
2. **B**
3. **A**
4. **A**

Would you like further clarification on any specific part of this solution?

Here are some related questions to explore further:
1. What is the difference between corresponding and alternate interior angles?
2. How do you determine whether two angles are supplementary or complementary?
3. Can a parallelogram have all its angles equal? Why or why not?
4. What are the properties of an acute angle versus an obtuse angle?
5. How can you use angle bisectors to divide angles equally?

**Tip**: In any figure with parallel lines, identifying alternate interior and corresponding angles can help you find equal angle relationships efficiently.

In each figure, there are multiple-choice options regarding the types and relationships between angles. The task is to identify the correct option(s) for each question.

Explore how to identify alternate interior, corresponding, and supplementary angles in geometric figures. This problem covers core geometric concepts like angles formed by parallel lines and properties of parallelograms, suitable for students in Grades 7-10.

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